Matrix Calculator

Matrix A: Matrix B:

 Let's consider two matrices, A and B, of the same size (3x2):

Matrix A:

| 1 2 | 3 4 |

| 5 6 | 7 8 |

| 9 10 | 11 12 |

Matrix B:

| 2 -1 | 0 1 |

| 3 -2 | 5 6 |

| 4 -3 | 10 11 |

1. Addition:

To add matrices A and B, simply add the corresponding elements in each row and column.

Matrix C(A+B):

| 3 1 | 3 5 |

| 8 4 | 12 14 |

| 13 7 | 21 23 |

2. Subtraction:

To subtract matrices A and B, subtract the corresponding elements on each row and column.

Matrix D(A – B):

| -1 3 | 3 3 |

| 2 8 | 2 2 |

| 5 13 | 1 1 |

3. Multiplication:

Matrix multiplication is a little more complicated, but it follows specific rules. To multiply matrices A and B (3x2 and 3x2), the resulting matrix will be 3x2.

Matrix E(A x B):

| 20 23 | 39 43 |

| 45 54 | 78 88 |

| 70 85 | 117 131 |