[" (ii) यदि "A=[[p,0,0],[0,p,0],[0,0,p]]" तथा "B=[[3,1,3],[4,2,6],[5,3,7]]" तो "],[" सिद्ध कीजिए कि "AB=pB.," (2015"]

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

Given A = ({:(3, P),(2, 5):}) " and B" = ({:(1, 0), (5, 6):}). If AB= BA, then find p.

" If "P(bar(A))=0.7,P(B)=0.7" and "P(B|A)=0.5" ,then "P(A uu B)=

P(A) = 0.6,P(B) = 0.3, P(B//A) = 0.2m P(AuuB) =

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