Matrix Multiplication Calculator (A × B)

Multiply two matrices with step-by-step visualization. Supports any compatible dimensions.

Matrix A
×
One row per line, space separated
Matrix B
×
One row per line, space separated
Quick Examples
Result: A × B
Enter two matrices and click "Multiply A × B" to see the result.
📋 Computation Steps
Detailed multiplication steps will appear here.
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Matrix Multiplication: FAQ

When are two matrices compatible for A×B?

A×B is defined when columns(A) = rows(B). If A is m×n and B is n×p, the product C is m×p. Each ci,j is the dot product of row i of A with column j of B.

Is A×B the same as B×A?

No. Matrix multiplication is generally not commutative: A×B ≠ B×A. It is associative and distributive, and obeys (AB)^T = B^T A^T.

What sizes are supported?

This tool supports rectangular and square matrices with dimensions up to 10×10, showing step‑by‑step computations.

Quick Access