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.

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:

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.