# Matrix Power

Power means multiplying something by itself a specific number of times. That is how matrix power works as well.

It takes the matrix and multiplies by itself a specific number of times. For example, A^2 is like saying A*A (meaning matrix multiplication). However, exponents do not have to be integral.

^ | Scalar | Row Vector | Column Vector | Matrix |
---|---|---|---|---|

Scalar | Raises the first scalar to the power of the second scalar. | Uses the formula Expm(b*log(a)). | ||

Row Vector | ||||

Column Vector | ||||

Matrix | Requires a square matrix. Takes the matrix power of the matrix to the power of whatever number the scalar value is. |

Examples

```
3 ^ 3
ans = 27
3^[3 4; 6 2]
ans = [1920.1 1415.9; 2123.8 1566.2]
[3 4; 6 2] ^ 2
ans = [33 20; 30 28]
```

Invalid Examples

```
[3 2] ^ [4 8]
2 ^ [4 6]
[3 6; 2 8] ^ [3 7]
```