Linear algebra-2

Algebra Level 1

is the multiplication for matrices commutive, i.e is A B = B A AB=BA for any two matrices A A and B B ?

No Yes

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Aareyan Manzoor by Aareyan Manzoor , 18, USA

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1 solution

Aareyan Manzoor
May 20, 2017

a good counter example is 2 matrix such that one has one dimension that the other doesn't, for example let A = 2 × 3 , B = 3 × 4 , A B = 2 × 4 , B A = u n d e f i n e d A=2\times 3, B=3\times 4, AB=2\times 4, BA=undefined clearly since the dimensions dont Match, the answer is n o \boxed{no}

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