Matrix Addition And Subtraction Calculator

Matrix A: Matrix B:

 Matrix Addition:

Imagine two friends, Alice and Bob, each having a matrix. To combine their information, we add the corresponding elements from each matrix. The result is a new matrix, where each element is the sum of the corresponding elements from Alice's and Bob's matrices.

Example:

Alice's matrix (A):

| 11  12 |

| 21  22 |

Bob's matrix (B):

| 11  12 |

| 21 | 22 |

Their joint matrix (C):

| 22  24 |

| 42 | 44 |

As you can see, every element in C is the sum of the corresponding elements in A and B.

Matrix Subtraction:

Subtracting matrices is like having a competition between Alice's and Bob's matrices. Instead of adding, we subtract related elements. The result is a new matrix that shows the differences between Alice's and Bob's information.

Example:

Suppose Alice has more apples than Bob:

| 10  8 |

| 5   3 |

But Bob has more oranges:

| 5  2 |

| 8  7 |

Their difference matrix (C):

| 5  6 |

| -3 -4 |

Each element in C shows the difference between the corresponding elements of Alice and Bob.