Matrix Calculator

How to use

1. 1Pick an operation from the dropdown at the top. The hint below it describes the dimensional requirements.
2. 2Set the dimensions of matrix A (and B if the operation needs two matrices). For A + B and A - B the shapes must match; for A * B, A's columns must equal B's rows. The tool auto-pairs B's shape when you change A.
3. 3Type values into the cells. Each cell accepts integers, decimals, comma decimals, and simple fractions like 3/4 or -7/8.
4. 4Use Load sample, Zeros, Identity (square only), or Clear in either matrix block to set up common starting points fast.
5. 5For k * A, enter the scalar k in the dedicated field above the matrix grid.
6. 6Read the result panel for the matrix or scalar answer, the formula used, and a short step-by-step explanation.
7. 7Click Copy result to grab a tab-separated version of the input matrices and the answer, ready to paste into a spreadsheet or notes app.

About this tool

Matrix Calculator runs the ten linear-algebra operations that come up the most in classrooms, engineering work, and machine-learning prep: addition, subtraction, matrix multiplication, scalar multiplication, transpose, determinant, inverse, rank, trace, and the reduced row echelon form (RREF). Each cell accepts integers, decimals (dot or comma), and simple fractions like 3/4 or -7/8, so you can paste numbers straight from a textbook or notebook without converting them first. Dimensions are configurable per matrix from 1x1 up to 8x8, and the tool auto-pairs B's shape when you change A so addition and multiplication stay valid by default. Determinants and the rank-and-RREF pipeline use Gaussian elimination with partial pivoting, which is the standard numerically stable approach taught in linear-algebra courses; the inverse is computed by Gauss-Jordan on the augmented matrix [A | I] and surfaces a clear error if A is singular. Every result is shown as a clean matrix table with formatted numbers, plus the formula and a short step-by-step explanation that mirrors how the operation would be carried out by hand. A Copy result button drops a tab-separated, paste-ready version into your clipboard so you can move the answer into a spreadsheet, homework write-up, or code review. Useful for checking matrix multiplication homework, finding the inverse of a 2x2 or 3x3 matrix, computing determinants, finding the rank for solving linear systems, and previewing RREF before solving Ax = b. Everything runs locally in the browser, so the numbers you type here never leave your device.

Free to use. Works in your browser. No signup, no login.