You are given the information that this matrix 729 39 769 A : 741 41 781 11 1 11 has the eigenvectors 1 0V1: 2 1 71 'V2 1 1 ,3 'Vg: *2 1 Calculate the eigenvalues of A corresponding to these eigenvectors, and enter your answers as a list [A1, A2, A3] such that the eigenvalues are in ascent order; i.e. /\\1 3 A2 3 A3 [MM] : Define the characteristic polynomial of a matrix A as pA(m) = det(;cI A). Then find the characteristic polynomial of the matrix 6 6 12 A = 3 9 12 3 6 9 pA(x) = lformat: a*(X'l)*(x2)*(X3) l Your last answer was interpreted as follows: a,~(;c1)-(:v2)-(w3) The variables found in your answer were: [(1, :17] Suppose T : R2 % R2 is the linear transformation denoting reflection about the line 3; : in: and S : R2 a R2 is the linear transformation describing projection onto the yi axis. Then the standard matrices ofT o S and of S o T are \f