If A=`[[4,3],[2,5]]`, find values of x and y such that `A^2-xA+yI=O` where I is a 2x2 unit matrix and O is a 2x2 zero matrix.

If A=[(4 ,3 ),(2 ,5)] , find x and y such that A^2-x A+y I=O .

If A=[[4,32,5]], find x and y such that A^(2)-xA+yI=O. Hence,evaluate A^(-1)

Show that the matrix A=[[2,3,],[1,2,]] satisfies the equation A^2-4A+I=O where I is a 2xx2 identity matrix and O is 2xx2 zero matrix.Using this equation.find A^-1 .

A=[[4,32,5]] find x and y such that A^(2)-xA+yI=0

If A=[[1,0],[-1,7]] find k so that A^2-8A-kI=O ,where I is a unit matrix and O is a null matrix of oreder 2.

Show that the matrix A=[[2, 3],[ 1, 2]] Satisfies the equation A^2-4 A+I=O , where I is 2 xx 2 identity matrix and O is 2 xx 2 zero matrix. Using this equation, find A^(-1)

Show that the matrix A = [[2,3],[1,2] satisfies the equation A^2-4A+I = O , where I is 2xx2 identity matrix and O is, 2xx2 zero matrix. Using this equation, find A^-1 .

Show that the matrix A = [[4,1],[-2,3]] satisfy the equation A^(2) - 7A + 14l = O , where l is 2 xx 2 identity matrix and O is 2 xx 2 zero matrix. Using this equation , find A^(-1) .

Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^2-4A+I=O , where I is 2xx2 identity matrix and O is 2xx2 zero matrix. Using this equation find A^(-1)