A and B are two `nxxn` matrices. Is the equality `(A+B) (A-B) =A^(2)-B^(2)` true ?

If A and B are two square matrices such sthat AB =BA, express (A+B)^(2)-A^(2)-B^(2) in terms of A and B.

If A and B are square matrices of order 2, then find (AB)^(T)-B^(T)A^(T) .

If A and B are two matrices such that AB =B and BA =A, then find the value of A^(2)+B^(2) .

If A and B are square matrices of the same order, then compute (A+B) (A-B) .

If A and B are two events such that P(A nn B) = 0.2, P(A uu B) = 0.8, P ( vec A ) = 0.4, find P (B).

If A and B are two events in a random experiment such that P (A) = 1/4, P(B) = 1/2, P(A nn B) = 1/8, find P ('not A' and 'not B').

If A and B are two events not mutally exclusive and P(A) = 1/4, P(B) = 2/5, P(AuuB) = 1/2 Find P(A/B)

If A and B are square matrices of order 3 such that |A| = -1 and |B| = 3, then find the value of |3AB|.

If A=60⁰ and B=30⁰ , verify that sin(A+B) sin (A-B)=(sin A)^2-(sin B)^2