Linear Algebra
Matrix Power
Raise a square matrix to an integer power.
Formula
Formula
An
Variables
| Symbol | Definition | Type & range | Units | Role |
|---|---|---|---|---|
| A | square matrix | real matrix | — | input |
| n | non-negative integer power | integer (ℤ) | — | input |
Try it yourself
Interactive calculator
Worked examples
Example 1
GivenA = 1, 1; 1, 0, n = 5
Result
| 8 | 5 |
| 5 | 3 |
Example 2
GivenA = 2, 0; 0, 2, n = 3
Result
| 8 | 0 |
| 0 | 8 |