यदि `A=[{:(p,0,0),(0,p,0),(0,0,p):}]`,`B=[{:(2,1,2),(3,1,4),(5,3,7):}]` तो दिखाइए कि AB = pB.

If P=[(0,1,0),(0,2,1),(2,3,0)],Q=[(1,2),(3,0),(4,1)] , find PQ.

Let I = [{:(1, 0, 0),(0 ,1, 0),(0,0,1):}] and P = [{:(1, 0, 0),(0 ,-1, 0),(0,0,-2):}] . Then the matrix p^(3) + 2P^(2) is equal to

If P = {:[(0,1,0),(0,2,1),(2,3,0)], Q = [(1,2),(3,0),(4,1)] , find PQ.

Let, I=({:(1,0,0),(0,1,0),(0,0,1):}) " and " P=({:(1,0,0),(0,-1,0),(0,0,-2):}) . Then the matrix P^(3)+2P^(2) is equal to -

If A = [(-2,0,5),(3,8,7)], B = [(-1,0),(2,3),(1,4)] , verify that (AB)' = B'A'

Let I=((1,0,0),(0,1,0),(0,0,1)) and P=((1,0,0),(0,-1,0),(0,0,-2)) . Then the matrix p^3+2P^2 is equal to

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').