What matrix operations does this calculator support?

Addition (A+B), subtraction (A−B), multiplication (A×B), transpose (Aᵀ), determinant det(A), inverse A⁻¹, and scalar multiplication k×A.

What is matrix multiplication?

Matrix multiplication multiplies rows of A by columns of B. It requires the number of columns in A to equal the number of rows in B. The result has the same number of rows as A and columns as B.

When does a matrix inverse not exist?

An inverse does not exist when the determinant is 0 — the matrix is called singular. This happens when rows or columns are linearly dependent.

How is the determinant calculated?

This calculator uses Gaussian elimination (LU decomposition) to compute the determinant efficiently for any square matrix size.

Can I change the matrix size?

Yes — use the +R/−R and +C/−C buttons to add or remove rows and columns from each matrix.

Matrix Calculator

Online matrix calculator for addition, subtraction, multiplication, transpose, determinant, inverse, and scalar multiplication. Supports any matrix size. Step-by-step results. Free, no sign-up.

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Matrix Calculator

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Matrix Calculator

Frequently Asked Questions

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