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Matrix Calculator.

Add, multiply, find determinants, and invert bounded square matrices.

On-device calculationNo signup
01

Set your values

Results update as you type.

Matrix A
Matrix B

For speed and predictable browser performance, matrices are limited to 6 × 6. Results update as you type.

Result

681012

How it works

Addition and multiplication require A and B to have the same square dimension. Determinants and inverses use matrix A. A matrix with determinant zero is singular and has no inverse.

FAQs

What matrix operations are supported?

This calculator supports addition, multiplication, determinant, and inverse operations for square matrices up to 6 by 6.

Why can a matrix have no inverse?

A square matrix with determinant zero is singular, so no inverse exists. The calculator reports that state instead of returning misleading values.

Cite this calculator

Canonical URL: https://mathify.one/en/math/matrix

Cite as: Mathify. (2026). Matrix Calculator. https://mathify.one/en/math/matrix

Use Cases

Solve systems of linear equations

Use matrix inversion to find solutions to systems of linear equations, which is common in engineering, physics, and economics.

Example: Given a 2x2 coefficient matrix, compute its inverse to solve for variables.

Verify matrix properties

Check if a matrix is invertible by calculating its determinant, or practice matrix addition and multiplication for educational purposes.

Example: Determine if a 3x3 matrix has a non-zero determinant before attempting to find its inverse.

Frequently Asked Questions

What operations does the Matrix Calculator support?
It supports addition, multiplication, determinant calculation, and inverse computation for square matrices. It automatically checks that dimensions match for addition/multiplication and that the matrix is invertible (non-zero determinant) before computing the inverse.
How does the calculator handle dimension or singularity errors?
The calculator checks that matrices are square and that dimensions are compatible for the chosen operation. If a matrix is singular (determinant zero), it will not compute an inverse and will indicate that the matrix is not invertible.
Can I use this calculator for non-square matrices?
No, this calculator is designed for square matrices only. It will not perform operations on non-square matrices because determinant and inverse are defined only for square matrices.

Tips & Common Mistakes

Tips

  • Ensure your matrices are square (same number of rows and columns) before using determinant or inverse functions.
  • For addition, both matrices must have the same dimensions; for multiplication, the number of columns in the first must equal the number of rows in the second.
  • Double-check your entries for typos, as a single incorrect value can change the determinant and invertibility.
  • Use the determinant result to quickly assess if a matrix is singular (determinant = 0) before attempting inversion.

Common Mistakes to Avoid

  • Trying to compute the inverse of a singular matrix (determinant = 0) without checking, which leads to an error.
  • Attempting to add or multiply matrices with incompatible dimensions, resulting in an error message.
  • Entering non-numeric values or leaving empty cells, which can cause calculation failures.

Last updated: August 13, 2026