Math Assignment Help With Properties Of Multiplication Of Matrices

Properties of multiplication of matrices

i) Matrix multiplication is not commutative in general.

i.e. AB ≠ BA

ii) Matrix multiplication is associative i.e.,

(AB)C = A(BC)

whenever both sides are defined.

iii) Matrix multiplication is distributive over matrix addition i.e.

(a) A (B + C) = AB + BC

(b) (A + B) C = AB + AC

Whenever both sides of equality are defined.

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