Under what conditions is the matrix `A^2-B^2=(A-B)(A+B)` is true?

Under what conditions is the matrix equation A^(2)-B^(2)=(A-B)(A+B) is true?

(a) Under what conditions energy is conserved ? (b) What is the only restriction to the principle of conservation of energy ?

If A and B are square matrices of size n xx n such that A^(2)-B^(2)=(A-B)(A+B), then which of the following will be always true

If A and B are square matrices of order n xx n such that A^(2)-B^(2)=(A-B)(A+B), then which of the following will always be true?

Under what condition does A (BC) = (AB)C hold, where A, B, C are three matrices ?

Under what condition will the equality : vec A xx vec B = vec A . vec B hold good ?

Let A and B be two 3 xx 3 real matrices such that (A^(2) - B^(2)) is invertible matrix . If A ^(5) = B^(5) and A^(3) B^(2) = A^(2) B^(3) , then the value of the determinant of the matrix A^(3) + B^(3) is equal to :

Under what condition |vec(A)+vec(B)| = |vec(A)|+|vec(B)| holds good?