If `A=[[2,4],[-5,-1]] ` show that: `|3A|=9|A|`

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

If A=[(4, 5),( 2 ,1)] , then show that A-3I=2(I+3A^(-1))

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

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[{:(1,3,-1),(2,2,-1),(3,0,-1):}]and B=[{:(-2,3,-1),(-1,2,-1),(-6,9,-4):}], then show that AB=BA.

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

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 .

Let A={1,2,3,5,9,7} and B={1,2,3,4,5,6,7,8,9,10} , show that A subset B

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 U={1,2,3....9},A={1,3,5,7,9} and B={2,3,5,7} , then show that (i) (A cupB)'=A'capB' (ii) (AcapB)'=A'cupB' .