9.If `A=[(2,3),(1,2)] and B=[(1,0),(3,1)] then (AB)^-1=`

If A=[(2,2),(-3,2)] and B=[(0,-1),(1,0)] then (B^-1A^-1)^-1= (A) [(2,-2),(2,3)] (B) [(3,-2),(2,3)] (C) 1/10 [ (2,2),(-2,3)] (D) 1/10 [(3,-2),(-2,2)]

If A'=[(-2,3),(1,3)] and B=[(-1,0),(1,2)], find [A+2B]'.

(i) if A=[{:(1,-4),(3,1):}]and b=[{:(1,0,5),(-2,4,3):}], then show that : (AB)'=B'A' (ii) if A=[{:(2,3),(0,1):}]and B=[{:(3,4),(2,1):}], then prove that : (AB)'=B'A'

If A=[(3, 0),(5, 1)] and B=[(-4,2),(1, 0)] Find A^(2)-2AB+B^(2)

If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)] , find AB and BA and show that AB!=BA

(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=[{:(2, 1,),(4,2,)],B =[{:(2,3,4),(1,4,0):}] and C=[{:(-1,2,1),(1,0,2):}] then veri fy that A(B+C)=(AB+AC) .

If A=[(-1,0,2),(3,1,4)], B=[(0,-2,5),(1,-3,1)] and C=[(1,-5,2),(6,0,-4)], then find (2A-3B+4C).

If A=[(2 ,3,-5 ),(1, 2,-1)] and B=[(0, 5,1),(-2, 7, 3)] , find A+B and A-B