" If "A=[[1,-1],[2,3]]" then prove that "A^(2)-4A+5I=0

If A=[[1,2,22,1,22,2,1]], then prove that A^(2)-4A-5I,=O

If A =[[1,2,2],[2,1,2],[2,2,1]] then prove that A^2-4A-5I=0 .

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

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

(i) if A=[{:(1,-1),(2,3):}], then show that A^(2)-4A+5I=O. (ii) if f(x)=x^(2)+3x-5and A=[{:(2,-1),(4,3):}], then find f(A).

If A=[[1,3],[-2,4]] , then show that , A^2-5A+10I=0

If A=[[1,-1,2],[3,0,-2],[1,0,3]] then prove that A*(adjA)=|A|I Also,find A^(-1)

If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this find A^(-1) . Where I= ([1,0],[0,1]) and theta = ([0,0],[0,0]) .

If A=({:(1,4),(2,3):}) , then show that A^(2)-4A-5I=0 ,where I=({:(1,0),(0,1):}) " and " O=({:(0,0),(0,0):}) .

If A = {:[(1,2),(0,1)], B = [(1,-3),(2,4)] and C = [(1,-1),(-1,2)] then prove that : A^2 - 2A + I = O