If A and B are square matrices of the sa...

If A and B are square matrices of the same order such that B = -`A^-1` BA , then `(A+ B)^2` :

Verified by Experts

`B=-A^(-1)BA`
`AB=-A A^(-1)BA`
`AB=-BA`
`(A+B)^2=A*A+B*B+A*B+B*A`
`=A^2+B^2-BA+BA`
`=A^2+B^2`

Similar Questions

Explore conceptually related problems

If A and B are square matrices of the same order, then

If A and B are square matrices of same order, then

If A and B are square matrices of the same order such that AB = A and BA = B, then……

If A and B arę square matrices of same order such that AB = A and BA = B, then

If A and B are square matrices of the same order such that AB = BA, then compute (2A + B) (A + 2 B).

If A and B are square matrics of the same order then (A+B)^2=?

If A and B are square matrics of the same order then (A-B)^2=?

If A and B are two square matrices of the same order, then AB=BA .

If A and B are two square matrices of the same order , then AB=Ba.

If A and Bare square matrices of same order such that AB = A and BA = B, then AB^(2)+B^(2)= : a) AB b) A+B c) 2AB d) 2BA