The matrix `A = [{:(1,2),(2,2):}]` satisfies which one of the following polynomial equations ?

Questions of matrix polynomial Equation

If x = (1 + sqrt(3))/(2) and y = x^3 then y satisfies which one of the following equations ?

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

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

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 = {:[( 2,3),( 1,2) ]:} satisfies equation A^(2) -4A +I=0 where is 2xx2 identity matrix and O is 2xx2 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 and hence, find A^(-1) .

Find the inverse of the matrix [{:(-3,2),(5,-3):}] Hence, find the matrix P satisfying the matrix equation : P[{:(-3,2),(5,-3):}]=[{:(1,2),(2,-1):}]

Show that the matrix A = {:[( 2,3),( 1,2) ]:} satisfies equation A^(2) -4A +I=0 where I is 2xx2 identity matrix and 0 is 2xx2 Zero matrix. Using this equation, Find A^(-1)

Show that the matrix A = {:[( 2,3),( 1,2) ]:} satisfies equation A^(2) -4A +I=0 where I is 2xx2 identity matrix and O is 2xx2 Zero matrix. Using this equation, Find A^(-1)