1.4.4: Distributive laws of multiplication over addition

Let A, B and C are three matrices such that A is a "m-by-n" matrix, B is a "n-by-p" matrix and C is a "n-by-p" matrix.

then matrix A can be multiplied with matrices B and C and the resultant will be the summation of product AB and AC. i.e A(B+C) = AB + AC. Similarly if matrix C is multiplied with matrices A and B , the resultant will be the summation of product AC and BC. i.e (A+B)C = AC + BC.


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