If `A=[(4,2),(-1,1)]` then `(A-21) (A-3I)=`

If A=[(4,2),(-1,1)] , show that (A-2 I) A-3 I) =0

Let A=[[4,2],[-1,1]] .Then (A-2I)(A-3I) is equal to

Find the inverse of each of the matrices given below : If A=[(3,2),(2,1)] , verify that A^(2)-4A-I=O, and "hence " "find "A^(-1) .

If A=[(1,-2,1),(2,1,3)] and B=[(2,1),(3,2),(1,1)] then (AB)' is equal to

"If A" = [{:(1, 2), (1, 3):}] , then find A^(-1) + A . (a) I (b) 2I (c) 3I (d) 4I

If A=[(0,1,2),(1,2,3),(3,a,1)] and A^(-1)=[(1//2,-1//2,1//2),(-4,3,c),(5//2,-3//2,1//2)] , then the values of a and c are equal to

If A=[{:(1,2),(-2,1):}],B=[{:(2,3),(3,-4):}] and C=[{:(1,0),(-1,0):}] , verfity (i) A(B+C)=AB+AC.

If A=[(2,1),(9,3)] and A^(2)-5A+7I=O , then A^(-1)=