In Algebra class we learn about matrices. We learn to add, subtract, and multiply 2x2 matrices and 3x3 matrices. Below are some examples from Algebra class with the answers:

+=

-=

*=

It is almost apparent how to add. We add the first position in the first matrix with the first position in the second matrix. We continue with the corresponding positions to get the answer. Subtraction follows this same positional methods. Multiplication of matrices appears to be confusing since it does not follow the positional method used in addition and subtraction.

The answer is achieved by taking the row from the first matrix and the column from the second matrix and multiplying the respective values and then taking the sum of the products.

The answer above was achieve as follows:

3(1)+4(-2)=-5 3(0)+4(3)=12

5(1)+6(-2)=-7 5(0)+6(3)=18

Write a program that take in two matrices and then allow the user to choose to add, subtract, or multiply them and display the answer. The program will display the following menu:

A. Enter Matrix A

B. Enter Matrix B

C. Display A + B

D. Display A - B

E. Display A * B

F. Exit

The program should loop and allow the user to continue to choose different options until they choose quit. The well written program will modularize the process into different methods.