Matrix Multiplication Calculator

Multiply an m×n matrix by an n×p matrix to get the m×p product, shown as a table with size checks.

Input

Enter matrix A and matrix B. Each line is one row; separate elements with spaces or commas.

Matrix A

Matrix B

Product size

2×2

Size of A

2×3

Size of B

3×2

Size of A·B

2×2

Product matrix A·B

58	64
139	154

The product C = A·B is defined when A is an m×n matrix and B is an n×p matrix, and the result is an m×p matrix.
Each entry is cᵢⱼ = Σₖ aᵢₖ·bₖⱼ, the dot product of row i of A with column j of B.
Multiplication is only possible when the number of columns of A equals the number of rows of B; otherwise the sizes are incompatible.
Enter one matrix row per line, separating elements with spaces or commas. Every row must have the same number of columns.
Matrix multiplication is not commutative in general: A·B and B·A need not be equal.

Tell us what you think of this calculator.