If `P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)]` then PQ is equal to (A) `[(-2,2),(1,-1),(1,-1)]` (B) `[(2,-2),(-1,1),(-1,1)]` (C) `[(2,2),(-1,1)]` (D) `[(1,0,0),(0,1,0),(0,0,1)]`

If A=|{:(1,0,0),(0,1,0),(0,0,1):}|" and A"=[{:(0,-3,4),(1,2,3),(0,5,5):}]," then find "(I-A)^(-1)

If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) [(0 ,0) ,(0, 0)] (c) [(1, 0) ,(0, 1)] (d) [(0,i) ,(i,0)]

If A = {:((1,-1),(1,2)):} and I={:((1,0),(0,1)):} then 3A^(-1) is equal to :

If A=[{:(,3,1),(,-1,2):}] and I=[{:(,1,0),(,0,1):}] ,find A^2-5A+7I .

If A=[ (3,-2),( 4 ,-2) ] and I=[(1,0),(0,1)] , then prove that A^2-A+2I=O .

Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=[1/6(A^2+cA+dI)] Then value of c and d are (a) (-6,-11) (b) (6,11) (c) (-6,11) (d) (6,-11)

If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

If A=[{:(4,1),(3,2):}] and I=[{:(1,0),(0,1):}] then A^(2)-6A is equal to : a) 3I b) -5I c) 5I d) none of these

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

If (A -2I)(A-3I)=0 , when A=[{:(4,2),(-1,x):}] and I=[{:(1,0),(0,1):}] , find the value of x