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HQ8T

Matrix Calculator

Inverse, determinant and multiplication of matrices.

Operation
Matrix A×

Result: A⁻¹

13/19-1/19-7/19-4/19-7/198/19-1/193/192/19

Results are exact: fractions are kept as fractions, so there are no rounding errors.

How to use

  1. 1Choose an operation.
  2. 2Set the size of matrix A (and B if needed).
  3. 3Type the numbers — fractions like 1/3 work too.
  4. 4Read the exact result, as fractions or decimals.

Frequently asked questions

How big can the matrices be?

Up to 5 × 5.

Why are the answers fractions?

The calculator keeps exact fractions, so an inverse like 13/19 isn't rounded. Tick Show decimals for decimal answers.

When does a matrix have no inverse?

When its determinant is 0 (a singular matrix). The calculator tells you when that happens.

When can two matrices be multiplied?

A × B works when the number of columns in A equals the number of rows in B.

What is the rank of a matrix?

The number of linearly independent rows (or columns) — found by row reduction.

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