The mtrix A is given by `A=[[1,2],[-3,0]]`. Prove that `A^2+3A+5I=[[3,8],[-12,-1]]`

If A={:((1,2),(-3,0)), show that, A^(2)+3A+5I={:((3,8),(-12,-1)).

A=[[1,2-3,0]] then find A^(2)+3A+5I

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

If A=[[1,0,20,2,12,0,3]], prove that A^(3)-6A^(2)+7A+2I=0

Select the correct option from the given alternatives. If A = [[1,2],[3,-5]] , then adj A is i] [[-5,-2],[-3,1]] ii] [[3,-5],[1,2]] iii] [[2,3],[-5,1]] iv] [[-5,3],[2,1]]

Given A = [(3,2,0),(1,4,0),(0,0,5)] Prove that A^2 -7A +10I_3 = 0

If A=[[3,-2],[1,2]] and A^2+k A+8 I=0 , then k=

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

If A=[[2,0,-1],[5,1,0],[0,1,3]] , prove that : A^-1=A^2-6A+11I

If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O