Chapter 2, Problem 45E

Question

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Answer 1

Question

Chapter 2, Problem 45E

Expert Solution & Answer

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

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Answer 2

Question

Chapter 2, Problem 45E

Expert Solution & Answer

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

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Answer 3

Question

Chapter 2, Problem 45E

Expert Solution & Answer

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

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Answer 4

Question

Chapter 2, Problem 45E

Expert Solution & Answer

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

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Answer 5

Expert Solution & Answer

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Answer 6

Expert Solution & Answer

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To create:

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

• To find whether other multiplication operation can be performed in part 2 or not.

Answer 10

Answer to Problem 45E

Solution:

• The variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• The variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Answer 11

Explanation of Solution

• The variable for the given matrix A=[1432] and perform the operation “3*A”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A in the expression “3*A”.

3*A=3[1432]=[1×34×33×32×3]=[31296]

Therefore, the elements of the matrix “3*A” are [31296].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

3*A

%Define the command to get the output of the expression “3*A”.

Save the MATLAB script with name, chapter2_54793_2_45_1E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given matrix A=[1432] and perform the operation “3*A”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 1

Therefore, the variable for the given matrix A=[1432] is “A = [1 4; 3 2]”, and the output of the operation “3*A” is [31296].

• The variable for the given two matrices A=[1432] and C=[325412] and perform the operation “A*C”.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [1432] for A and substitute [325412] for C in the expression “A*C”.

A*C=[1432][325412]=[(1×3)+(4×4)(1×2)+(4×1)(1×5)+(4×2)(3×3)+(2×4)(3×2)+(2×1)(3×5)+(2×2)]=[1961317819]

Therefore, the elements of the matrix “A*C” are [1961317819].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1 4; 3 2]

%Define the command to get the matrix “A”.

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

A*C

%Define the command to get the output of the expression “A*C”.

Save the MATLAB script with name, chapter2_54793_2_45_2E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices A=[1432] and C=[325412]. Perform the operation “A*C”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 2

Therefore, the variable for the given two matrices A=[1432] and C=[325412] are “A = [1 4; 3 2]” and “C = [3 2 5; 4 1 2]”. The output of the operation “A*C” is [1961317819].

• To find whether other multiplication operation can be performed in part 2 or not.

The given matrices are,

A=[1432]

B=[213156360]

And,

C=[325412]

Substitute [213156360] for B and substitute [325412] for C in the expression “C*B”.

C*B=[325412][213156360]=[(3×2)+(2×1)+(5×3)(3×1)+(2×5)+(5×6)(3×3)+(2×6)+(5×0)(4×2)+(1×1)+(2×3)(4×1)+(1×5)+(2×6)(4×3)+(1×6)+(2×0)]=[234321152118]

Therefore, the elements of the matrix “C*B” are [234321152118].

Now, verify the expression output through the MATLAB command.

MATLAB Code:

C = [3 2 5; 4 1 2]

%Define the command to get the matrix “C”.

B = [2 1 3; 1 5 6; 3 6 0]

%Define the command to get the matrix “B”.

C*B

%Define the command to get the output of the expression “C*B”.

Save the MATLAB script with name, chapter2_54793_2_45_3E.m in the current folder. Execute the script by typing the script name at the command window to create the variable for the given two matrices C=[325412] and B=[213156360]. The other multiplication operation that can be performed are “C*B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 45E , additional homework tip 3

Therefore, the variable for the given two matrices C=[325412] and B=[213156360] are “C = [3 2 5; 4 1 2]” and “B = [2 1 3; 1 5 6; 3 6 0]”. The output of the operation “C*B” is [234321152118].

Answer 12

Chapter 2, Problem 2.1P Chapter 2, Problem 2.2P Chapter 2, Problem 2.3P Chapter 2, Problem 2.4P Chapter 2, Problem 2.5P Chapter 2, Problem 1E Chapter 2, Problem 2E Chapter 2, Problem 3E Chapter 2, Problem 4E Chapter 2, Problem 5E

Chapter 2, Problem 45E

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Answer to Problem 45E

Explanation of Solution

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