JEE-Mains 2014 (6/30)

Algebra Level pending

If $A$ is a $3\times 3$ non-singular matrix such that $AA'=A'A$ and $B=A^{-1}A'$ , then $BB'$ equals :

(B^{-1})'

I

B^{-1}

I+B

2 solutions

Galen Buhain
Jun 15, 2015

B=A1A AB=A ABB

Himanshu Tuteja
Jun 15, 2015

B = A1A  AB = A ABB = AB = (BA) = (A1AA) = (A1AA) = A.  BB = I.  for transpose 1 for inverse

sir i am in 12 and aspiring for mains above 300 please guide me

Himanshu Tuteja - 5 years, 12 months ago