If `A=[[4,5],[2,1]]`,then show that `A^(-1)=(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 "

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

(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)/(a)=5 then show that a^(4)+(1)/(a^(4))=727

If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

If A=|{:(1,2,2),(2,1,2),(2,2,1):}| , then show that A^(2)-4A-5I_(3)=0 . Hemce find A^(-1) .

If A= [[1,3],[2,-1]] and B= [[4,5],[0,6]] ,show that (A+B)^T=A^T+B^T

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

if A=[{:(2,1,3),(1,-1,2),(4,1,5):}]and B=[{:(1,-1,2),(2,1,5),(4,1,3):}], then show that : (i) (A+B)'=A'+B' (ii) (A+4B)'=A'+4B'

If A=[(2,-1,1),(-1,2,-1),(1,-1,2)] show that A^(2)-5A+4I=0 Hence find A^(-1)