If A and B are two matrices such that AB = A and BA = B, then B2 is equal to

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B Here, AB = A . . . \left( 1 ight) BA = B . . . \left( 2 ight) \Rightarrow BAB = BB \left[ 	ext{Multiplying both sides by} B ight] \Rightarrow BA = B^2 \left[ 	ext{From eq} . \left( 1 ight) ight] \Rightarrow B = B^2 \left[	ext{From eq }. \left( 2 ight) ight]

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