Chapter 2, Problem 2.5P

Question

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Answer 1

Question

Chapter 2, Problem 2.5P

Expert Solution & Answer

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

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Answer 2

Question

Chapter 2, Problem 2.5P

Expert Solution & Answer

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

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Answer 3

Question

Chapter 2, Problem 2.5P

Expert Solution & Answer

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

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Answer 4

Question

Chapter 2, Problem 2.5P

Expert Solution & Answer

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

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Answer 5

Expert Solution & Answer

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Answer 6

Expert Solution & Answer

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To find:

The value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Answer 10

Answer to Problem 2.5P

Solution:

The values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.

Answer 11

Explanation of Solution

The given matrices are,

A=[1433]

And,

B=[12−10]

Substitute [1433] for A and [12−10] for B in the expression “A.*B”.

A.*B=[ 1433 ].*[ 12 −10 ]=[ 1×1 4×2 3×−1 3×0 ]=[ 18 −30 ]

Substitute [1433] for A and [12−10] for B in the expression “A*B”.

A*B=[1433]*[12−10]=[(1×1)+(4×−1)(1×2)+(4×0)(3×1)+(3×−1)(3×2)+(3×0)]=[−3206]

Similarly substitute [1433] for A and [12−10] for B in the expression “B*A”.

B*A=[12−10]*[1433]=[(1×1)+(2×3)(1×4)+(2×3)(−1×1)+(0×3)(−1×4)+(0×3)]=[710−1−4]

Now, verifying the expression output by using MATLAB command.

MATLAB Code:

A = [1 4;3 3]

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

B = [1 2;-1 0]

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

A.*B

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

A*B

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

B*A

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

Save the MATLAB script with name, chapter2_45251_2_5P.m in the current folder. Execute the program by typing the script name at the command window to find the value of the expressions A.*B, A*B and B*A by hand and then verify the results in MATLAB.

Result:

Matlab, Fourth Edition: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 2.5P

Therefore, the values of the expressions A.*B, A*B, and B*A are [18−30], [−3206], and [710−1−4] respectively.