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

A_{n × m} ∙
B_{m × k} =
C_{n × k}

Matrices multiplication is noncommutative operation: