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

show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

Show that A=[53-1-2] satisfies the equation x^(2)-3x-7=0 .Thus,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 the matrix A=({:(2,-3),(3,4):}) satisfies the equation A^(2)-6A+17I=O and hence find A^(-1) where I is the identity matrix and O is the null matrix of order 2 times 2 .

Show that A=[(-8, 5),( 2, 4)] satisfies the equation A^2+4A-42 I=O . Hence, find A^(-1) .

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