If `A` and `B` are square matrices of order `n` , then prove that `A` and `B` will commute iff `A-lambda\ I` and `B-lambda\ I` commute for every scalar `lambda`

If A and B are square matrices of order n , then prove that A \ a n d \ B will commute iff A-lambdaI \ a n d \ B-lambdaI commute for every scalar lambda .

If A and B are square matrices of order n , then prove that Aa n dB will commute iff A-lambdaIa n dB-lambdaI commute for every scalar lambdadot

If A and B are square matrices of order n , then prove that Aa n dB will commute iff A-lambdaIa n dB-lambdaI commute for every scalar lambdadot

If A and B are square matrices of order n , then prove that Aa n dB will commute iff A-lambdaIa n dB-lambdaI commute for every scalar lambdadot

If A and B are square matrices of order n , then prove that Aa n dB will commute iff A-lambdaIa n dB-lambdaI commute for every scalar lambdadot

If A and B are square matrices of order n , then prove that Aa n dB will commute iff A-lambdaIa n dB-lambdaI commute for every scalar lambdadot

If A and B are square matrices of order n, then A - lambda I and B - lambda I commute for every scalar lambda only if a)AB = BA b) AB + BA = 0 c)A = - B d)None of these

A and Bare square matrices of order n.Their product is commutative:Prove that A^2B = BA^2 .