Doubts

If A and B are two matrices such that AB=A and BA=B then B² equals
(a)B (b)A (c)1 (d)0
Plz give soln also.

6 Answers

(a)

wait a minute....

BA=B

MULTIPLY BY B...

(BA)B=B²

B(AB)=B² (BECOZ matrix product is associative...)

SINCE AB=A

BA=B²

SINCE BA=B...

THEREFORE...

B=B²

i hope it'll help.....

nice....thx:-)

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