Multiplication matrix A by matrix B can be applied if and only if the number of columns of matrix A equal to the number of rows of matrix B. The result matrix dimensions: number of rows equal to the number of rows of matrix A and number of columns equal to the number of columns of matrix B:

A_{n × m} ∙
B_{m × k} =
C_{n × k}

Matrices multiplication is noncommutative operation:

A ∙ B ≠ B ∙ A

Matrix multiplication calculator

A: ×

B: ×

A | = |

B | = |

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