Multiplication matrix by matrix can be applied if and only if the number of columns of matrix equal to the number of rows of matrix . The result matrix dimensions: number of rows equal to the number of rows of matrix and number of columns equal to the number of columns of matrix :
An × m ∙ Bm × k = Cn × k
Matrices multiplication is noncommutative operation:
A ∙ B ≠ B ∙ A
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