Matrix Calculator
Add, subtract, multiply, transpose, and find the determinant or inverse of a matrix.
What is a matrix calculator?
A matrix calculator performs the core operations of linear algebra on grids of numbers. Matrices are used everywhere from computer graphics and engineering to statistics and machine learning, but the arithmetic quickly becomes tedious by hand. This tool lets you enter matrices of up to 5×5 and get results instantly in your browser.
Operations it supports
You can add and subtract two matrices of the same size, multiply two matrices when the columns of A match the rows of B, and transpose a matrix by swapping its rows and columns. For square matrices it also computes the determinant — a single number that reveals whether the matrix is invertible — and the inverse, using Gauss-Jordan elimination.
How to use this calculator
Pick an operation, set the size of matrix A (and B for two-matrix operations), then type the numbers into the grids. Press Calculate to see the result matrix, or the determinant value. Changing the size keeps any values you have already entered where possible.
Rules to keep in mind
Addition and subtraction require identical dimensions, and multiplication requires the inner dimensions to agree — an m×n matrix times an n×p matrix gives an m×p result. Determinant and inverse only exist for square matrices, and a matrix with a determinant of zero is singular and has no inverse.
Frequently Asked Questions
What is the Matrix Calculator?
Add, subtract, multiply, transpose, and find the determinant or inverse of a matrix. It runs instantly in your browser and is completely free to use.
What do I need to enter to use the Matrix Calculator?
The Matrix Calculator is an interactive tool: type directly into it and the result updates as you go. Everything runs on your own device, so nothing you enter is sent to a server.
How accurate is the Matrix Calculator?
The Matrix Calculator uses standard, widely-accepted formulas, so its figures are reliable estimates for everyday planning. They are not a substitute for advice from a qualified professional.
Is the Matrix Calculator free, and do I need an account?
Yes. The Matrix Calculator — and every other calculator on Calculatis — is completely free, with no registration, no download and no limit on how often you use it.