Chapter 2, Problem 41E

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Answer 1

Question

Chapter 2, Problem 41E

Expert Solution & Answer

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

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Answer 2

Question

Chapter 2, Problem 41E

Expert Solution & Answer

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

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Answer 3

Question

Chapter 2, Problem 41E

Expert Solution & Answer

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

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Answer 4

Question

Chapter 2, Problem 41E

Expert Solution & Answer

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

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Answer 5

Expert Solution & Answer

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Answer 6

Expert Solution & Answer

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Answer 7

Expert Solution & Answer

Answer 8

Expert Solution & Answer

Answer 9

To determine

To create:

The variables for these two matrices and perform these operations “A+B”, “A-B” and “A.B”.

Answer 10

Answer to Problem 41E

Solution:

The variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

Answer 11

Explanation of Solution

The given matrices are,

A=[1234−16]

And,

B=[241130]

Substitute [1234−16] for A and [241130] for B in the expression “A+B”.

A+B=[ 1234−16 ]+[ 241130 ]=[ 1+22+43+14+1−1+36+0 ]=[ 364526 ]

Therefore, the elements of the matrix “A+B” are [364526].

Substitute [1234−16] for A and [241130] for B in the expression “A-B”.

A−B=[ 1234−16 ]−[ 241130 ]=[ 1−22−43−14−1−1−36−0 ]=[ −1−223−46 ]

Therefore, the elements of the matrix “A-B” are [−1−223−46].

Substitute [1234−16] for A and [241130] for B in the expression “A*B”.

A*B=[1234−16][241130]

The multiplication of the matrix is not possible.

Now, verify the expression output through the MATLAB command.

MATLAB Code:

A = [1:1:3; 4 -1 6]

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

B = [2 4 1; -1 3 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”.

A.*B

% Define the command to get the output of the expression “A.*B” (values of matrix A is multiplied with all the elements of matrix B).

Save the MATLAB script with name, chapter2_54793_2_41E.m in the current folder. Execute the script by typing the script name at the command window to create the variables for given two matrices and perform the following operations “A+B”, “A-B” and “A.B”.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 2, Problem 41E

Therefore, the variables for the given two matrices are “A = [1:1:3; 4 -1 6]”, and “B = [2 4 1; -1 3 0]” and the output of these operations “A+B”, “A-B”, and “A.B” are [364526], [−1−223−46], and “Error using” respectively.

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 41E

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Answer to Problem 41E

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