Matrix Power Calculator

Matrix Power Calculator

Raise a square matrix to a non-negative integer power and inspect the resulting matrix.

Last updated: June 2026 | By Patchworkr Team

Matrix Power Solver
Matrix Power
A^2
Computed for a 3x3 matrix and exponent 2
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What Is Matrix Power?

Matrix power means multiplying a square matrix by itself repeatedly. The exponent must be a non-negative integer in this calculator.

How to Calculate Matrix Power

  1. Enter a square matrix.
  2. Choose a non-negative integer exponent.
  3. Multiply the matrix by itself the required number of times.
  4. Read the powered matrix in the result panel.
A^n = A × A × ... × A

Worked Example

For [[1, 2], [3, 4]], the square A^2 is [[7, 10], [15, 22]].

repeated matrix multiplication

Frequently Asked Questions

Can I use a negative exponent?

Not in this version. Negative exponents require a matrix inverse and are rejected here.

Can I use a non-square matrix?

No. Matrix powers are only defined for square matrices.

Can I enter decimals?

Yes. Any finite real matrix entries are accepted.

What if a cell is blank?

Blank cells are rejected instead of being silently converted to zero.

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