IF `A=[{:(1,2,2),(2,1,2),(2,2,1):}]` then show that `A^2-4A-5I=O`.

IF 3A=[{:(1,2,2),(2,1,-2),(-2,2,-1):}] then show that A^-1=A' .

IF A=[{:(-1,-2,-2),(2,1,-2),(2,-2,1):}] then show that adjA=3A^T Also find A^-1

IF A=[{:(-1,-2,-2),(2,1,-2),(2,-2,1):}] then show that adj A=3A^T . Also find A^-1 .

If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-3I=O , where I is unit matrix of order 3

IF A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-31=O

If A=[(1,2,3),(3,-2,1),(4,2,1)] , then show that A^(3)-23A-40I=0

A=[{:(1,2,2),(2,1,2),(2,2,1):}] , then A^(3) - 4A^(2) -6A is equal to

If A= {:[( 1,2),(4,2) ]:} , then show that |2A| =4|A|

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