If A = `((4,5),(2,1))` show that, `6A^(-1) + 5I = A`.

If A = [(5,2),(-1,2)] and I = [(1,0),(0,1)] show that (A - 3I) (A - 4I) = 0

If A = [[4,5],[2,1]] , Show that A^-1 = frac{1}{6}(A-5I) .

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

If A=[(4, 5),( 2 ,1)] , then show that A-3I=2(I+3A^(-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 = [[4,5],[5,6]] , show that A^2 = 10A + I where I is the unit matrix of order 2.

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

If A=[[4,5],[2,1]] , then show that A^-1 = frac{1}{6}(A-5I) .

" 0.5"" If "A=[[4,5],[2,1]]" then,show that "A^(-1)=(1)/(6)(A-51)" ,where "1" is ldentity matrix "

(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).