Algebra> If A, B are two square matrices such that...

If A, B are two square matrices such that AB=B, BA=A then A+B WHOLE POWER n =

Dsrinu , 7 Years ago

Grade 12

2 Answers

Deepak Kumar Shringi

Last Activity: 6 Years ago

(A+B)²=A²+B²+AB+BA
=A²+B²+B+A= 2(A+B)
(A+B)^n = n(A+B)
BECAUSE -

.
NOW B^2=BB
=(BA)B
=B(AB) (MATRIX MULTIPLICATION OBEYS ASSOCIATIVE LAW)
=BA
=B.

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Last Activity: 4 Years ago

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