Show that the matrix A= `[(2,-3),(3,4)]` satisfies the equation `x^(2) - 6x + 17 = 0.` 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=({:(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 the matrix A=[(2, 3), (1, 2)] satisfies the equation A^3-4A^2+A=O .

Find the inverse of each of the matrices given below : Show that the matrix A=[(-8,5),(2,4)] satisfies the equation A^(2)+4A-42I=0 and hence find A^(-1) .

Show that A=[[2,-3],[3,4]] satisfies the equation A^(2)-6A+17=0. Hence find A^(-1)

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

Show that A=|[2,-3], [3 ,4]| satisfies the equation x^2-6x+17=0 . Hence, find A^(-1) .

Show that A=[2-334] satisfies the equation x^(2)-6x+17=0. Hence,find A^(-1)

Show that A=[[2,-3],[3,4]] satisfies the equation A^(2)-6A+17=0 .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) .