If `A[{:(2,3),(1,2):}]` satisfy the equation `A^2-kA+I=0`, then find k also `A^(-1)`.

A=[{:(1,3),(2,1):}] satisfy the equation A^2-kA-5I=0 , then find k and also A^(-1) .

A=[{:(1,3),(2,1):}] satisfy the equation A^2-kA-5I=0 , then find k and also A^(-1) .

Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and hence, find A^(-1) .

Show that A=[{:(5,3),(-1,-2):}] satisfies the equation A^(2)=3A-7I=0 and hence find A^(-1) .

Show that A =[{:(5,3),(-1,-2):}] satisfies the equation A^(2)-3A-7I=0 and hence find the value of A^(-1)

Show that the matrix A = [(2,3),(1,2)] satisfies the equations A^2 - 4A +I = O . Hence find A^-1

If the matrix A = [(1,2),(3,4)] satisfies the equation A^(2) = 5A + 2I . Then, find the value of A^-1 .

Show that A=[(5, 3),(-1,-2)] satisfies the equation x^2-3x-7=0 . Thus, find A^(-1)

Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equation A^2-4A-5I_3=0 and hence find A^(-1)

Show that, the matrix A = [(1,2,2),(2,1,2),(2,2,1)] satisfies the equation A^(2) - 4A - 5I_(3) = 0 and hence find A^(-1) .