If A and B are square matices of the same order such that `A^2=A,B^2=B,AB=BA=0` then (A) `AB^2=0` (B) `(A+B)^2=A+B` (C) `(A-B)^2=A+B` (D) none of these

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

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

If A and B are square matrices of the same order such that A=-B^(-1)AB then (A+3B)^(2) is equal to

If A and B are square matrices of the same order such that A^(2)=A,B^(2)=B" and "(A+B)^(2)=A+B," then :"AB=

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

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

If A and B are square matrices of the same order such that AB=BA, then (A) (A-B)(A+B)=A^2-B^2 (B) (A+B)^2=A^2+2AB+B^2 (C) (A+B)^3=A^3A^2B+3AB^2+B^3 (D) (AB)^2=A^2B^2

If A and B are non-zero square matrices of same order such that AB=A and BA=B then prove that A^(2)=A and B^(2)=B

If A and B are square matrices of the same order then (A+B)^2=A^2+2AB+B^2 implies (A) AB=0 (B) AB+BA=0 (C) AB=BA (D) none of these

If a and B are square matrices of same order such that AB+BA=O , then prove that A^(3)-B^(3)=(A+B) (A^(2)-AB-B^(2)) .