matrix

JEE Mains 2015 Answers › Algebra questions › matrix

If A, B are two square matrices such that AB=A and BA=B , then prove that B²=B

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13

Avik ·2010-05-08 23:24:57

Given... BA = B
=> (BA)B =B²
=> B(AB) = B²

=> BA = B²

=> B = B².... Proved :)

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