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

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

Under what condition do the equation kx-y=2and6x-2y=3 have a unique solution?

The number of solutions of the matrix equation X^(2)=[[1,12,3]] is (A) more than 2(B)2(C)0

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

(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?

If there are three square matrix A,B,C of same order satisfying the equation A^(2)=A^(-1) and B=A^(2) and C=A^((n-2)) then prove that det.(B-C)=0,n in N

What are the roots of the quadratic equations a^2b^2x^2-(a^2+b^2) x+1=0