" (a) "" aft "A=[[p,0,0],[0,p,0],[0,0,p]]" and "B=[[3,1,3],[4,2,6],[5,3,7]]," an fus a sifar : "AB=pB

If P=[{:(3,4),(2,-1),(0,5):}]" and "Q=[{:(7,-5),(-4," "0),(2," "6):}] , verify that (P+Q)'=(P'+Q').

let P_(1)=[(1,0,0),(0,1,0),(0,0,1)],P_(2)=[(1,0,0),(0,0,1),(0,1,0)],P_(3)=[(0,1,0),(1,0,0),(0,0,1)],P_(4)=[(0,1,0),(0,0,1),(1,0,0)],P_(5)=[(0,0,1),(1,0,0),(0,1,0)],P_(6)=[(0,0,1),(0,1,0),(1,0,0)] and X=sum_(k=1)^(6) P_(k)[(2,1,3),(1,0,2),(3,2,1)]P_(k)^(T) Where P_(k)^(T) is transpose of matrix P_(k) . Then which of the following options is/are correct?

If A=(0,4),B=(0,-4) and |AP-PB|=6 , then the locus of P is

If A -= (0,0) and B -= (4,-3) then the locus of the moving point P such that 2 PA = 3PB is

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

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

If P(A)=0.6,P(B)=0.5 and P(A//B)=0.3 , then find P(A uu B) .