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Matrix Calculator

Matrix calculator: add, subtract, multiply, transpose, determinant and inverse for 2×2 to 5×5 matrices with fractions.

Education & Study Free Private

Matrices

Matrix A
Matrix B

Result

Solve matrix problems online and see results as decimals or fractions.

What is the Matrix Calculator?

Solve matrix problems for school, university and engineering. Choose a size from 2×2 to 5×5 and calculate A + B, A − B, A × B, A², the transpose, the determinant or the inverse. You can type decimals or fractions like 1/2, and results are shown as neat fractions whenever possible.

How to use the Matrix Calculator

  1. Choose the matrix size and the operation.
  2. Type the values of A (and B).
  3. Read the result below.

Quick facts

  • Matrix multiplication is not commutative: A × B is usually different from B × A.
  • A matrix has an inverse only if its determinant is not zero.
  • det(A) for a 2×2 matrix [[a,b],[c,d]] = ad − bc.

Frequently asked questions

Can I enter fractions?

Yes, e.g. 3/4 or -1/2.

Why does it say singular?

The determinant is 0, so no inverse exists.

Can I multiply different sizes?

This calculator uses square matrices of the same size.

Is it free?

Yes.

This matrix calculator is 100% free, needs no signup and works on phones, tablets and computers. Your data is processed in your browser and never uploaded.

Last updated: · By NodifyTech