Let P and Q be `3xx3` matrices `P ne Q`. If `P^(3)=Q^(3)` and `P^(2)Q=Q^(2)P`, then determinant of `(P^(2)+Q^(2))` is equal to :

Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q^2P , then determinant of (P^2+""Q^2) is equal to (1) 2 (2) 1 (3) 0 (4) 1

Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a nd""P^2Q""=""Q^2P , then determinant of (P^2+""Q^2) is equal to (1) 2(2) 1 (3)0 (4) 1

If P=[(lambda,0),(7,1)] and Q=[(4,0),(-7,1)] such that P^(2)=Q , then P^(3) is equal to

Let A=[(1, 2),(3, 4)] and B=[(p,q),(r,s)] are two matrices such that AB = BA and r ne 0 , then the value of (3p-3s)/(5q-4r) is equal to

Suppose P and Q are two different matrices of order 3xx n " and" n xx p , then the order of the matrix P xx Q is ?

If P+Q=R and |P|=|Q|= sqrt(3) and |R| ==3 , then the angle between P and Q is

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

If 2p+q=11 and p+2q=13, then p+q=

If p(x)=ax^(2)+bx and q(x)=lx^(2)+mx+n with p(1)=q(1), p(2)-q(2)=1 , and p(3)-q(3)=4 , then p(4)-q(4) is equal to

If p/q=(2/3)^2-:(6/7)^0, find the value of (q/p)^3