Matrix calculator guide

How to use the Matrix Calculator

The Matrix Calculator handles common 2x2 and 3x3 matrix operations: add, subtract, multiply, determinant, and transpose. It is built for quick checking and study examples.

Open the matrix calculator

Quick start

Choose 2x2 or 3x3.
Choose the operation you want.
Enter Matrix A and Matrix B when the operation needs both matrices.
Press Calculate matrix and review the result, steps, examples, and recent answers.

Matrix multiplication order

Matrix multiplication uses rows from Matrix A and columns from Matrix B. Because of that, A x B can produce a different result than B x A.

The calculator keeps the current version focused on square 2x2 and 3x3 matrices so the inputs stay simple and mobile-friendly.

Determinant and transpose

A determinant is a single value calculated from a square matrix. For a 2x2 matrix [[a,b],[c,d]], the determinant is ad - bc.

Transpose swaps rows and columns. Entry row 1, column 2 becomes row 2, column 1.

Examples from the calculator

2x2 multiply [[1,2],[3,4]] x [[5,6],[7,8]]

[[19,22],[43,50]]

2x2 determinant det([[1,2],[3,4]])

-2

3x3 determinant det([[6,1,1],[4,-2,5],[2,8,7]])

-306

History, privacy, and copying

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