If `A+B={:[(1,0),(1,1)]:}andA-2B={:[(-1,1),(0,-1)]:}`, then A is equal to

(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=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

If A=[{:(1,0,0),(0,1,0),(a,b,-1):}] then A^(2) is equal to

If A=[{:(0,1),(1,1):}] "and" B=[{:(0,-1),(1,0):}] , then show that (A+B)(A-B)neA^(2)-B^(2)

Let A={:[(2,3,5),(1,0,2),(3,4,5)]:}andA+B-4I=0 , then B is equal to

If A = [(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a null matrix (b) a unit matrix (c) A (d) A

if A'=[{:(3,4),(-1,2),(0,1):}]and B=[{:(-1,2,1),(1,2,3):}], then verify that (i) (A+B)'=A'+B'(ii) (A-B)'=A'-B'

Let A+2B={:[(3,2,-3),(1,0,4),(3,1,2)]:}and-A-B={:[(1,0,3),(-1,4,1),(3,2,1)]:} . Find A and B.

If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}] , find a matrix C such that (A+B+C) is a zero matrix.

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)]