If A=`[{:(,3,-4),(,1,-1)]:}` then show that `A^(3)=[{:(,7,-12),(,3,-5)]:}`

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

If A=[[3, 1],[-1, 2]] , show that A^2-5A+7I=0

if A=[{:(-1,2,,3),(5,7,9),(-2,1,1):}]and B=[{:(-4,1,-5),(1,2,0),(1,3,1):}], then verify that (I) (A+B)'=A'+B',(ii) (A-b)'=A'=B'

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

if A[{:(2,-3,-5),(-1,4,5),(1,-3,-4):}]and B=[{:(2,-2,-4),(-1,3,4),(1,-2,-3):}], then show that (i) AB=A and BA=B.

if A=[{:(2,-3),(1,4):}],B=[{:(-1,0),(1,2):}], C=[{:(3,1),(1,2):}] , then show that A (BC)=(AB)c.

If A=[{:(2,-1,3),(4,5,-6):}] and B=[{:(1,2),(3,4),(5,-6):}] then

If A=[(2 ,-3, -5), (-1, 4, 5),( 1, -3 ,-4)] and B=[(-1, 3, 5), (1,-3, -5) , (-1, 3, 5)] , show that A B=B A=O_3xx3 .

If A=[{:(1,2),(4,1),(5,6):}] and B=[{:(1,2),(6,4),(7,3):}] , then varify that (i) (A-B)'=A'-B'