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

a_1x+b_1y+c_1=0, a_2x+b_2y+c_2=0 Under what condition the above equations represent a unique solution.

a_1x+b_1y+c_1=0, a_2x+b_2y+c_2=0 Under what condition the above equations represent infinitely many solution.

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

sin 2B = 2 sin B is true when B is equal to

If vec(A) + vec(B) = vec(C ) under what condition A^(2)+B^(2) will be equal to C^(2) ?

Restate the following statements with appropriate conditions, so that they become true. : If a^2 > b^2 , then a > b .

Find the condition that the points (a,b),(b,a)and (a^(2),-b^(2)) are in a straight line .