Why does it say the matrix is not invertible?

A square matrix with determinant 0 has no inverse. Check with the determinant view, or look at the rank to see whether it is full rank.

What sizes does matrix multiplication need?

The columns of A must equal the rows of B; the result has the rows of A and the columns of B. Addition and subtraction need identical sizes.

Why are there decimals in the result?

Inversion and division produce fractions. Values are shown to 6 significant digits and values very close to zero are displayed as 0.

What is the largest matrix supported?

8×8. Larger problems belong in dedicated software — this tool targets classwork and quick checks.

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🔲Matrix Calculator - Add, Multiply, Determinant, Inverse and Rank

Type the entries into the grid and get matrix addition, subtraction, multiplication, transpose, determinant, inverse, rank and powers. Matrices up to 8×8 are supported and results are tab separated, ready to paste into Excel.

Free · No sign-up · Runs in your browserLast updated: 2026-10-26

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How to use Matrix Calculator

1Pick the operation and set the number of rows and columns
2Fill in the entries — “Identity” and “Random” give you a quick start
3The result appears below and can be copied in one click

FAQ

Why does it say the matrix is not invertible?: A square matrix with determinant 0 has no inverse. Check with the determinant view, or look at the rank to see whether it is full rank.
What sizes does matrix multiplication need?: The columns of A must equal the rows of B; the result has the rows of A and the columns of B. Addition and subtraction need identical sizes.
Why are there decimals in the result?: Inversion and division produce fractions. Values are shown to 6 significant digits and values very close to zero are displayed as 0.
What is the largest matrix supported?: 8×8. Larger problems belong in dedicated software — this tool targets classwork and quick checks.