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A2 x 2 symmetric matrix A can be diagonalized using the similarity transformation MT AM = A, where matrix M is orthogonal, i.e. MT = M-1. Solving for A one obtains A = MAMT. It is known that the 3 1 eigenvectors of A are with the eigenvalue 1 = 2 and with the -3 fi] a11 a12 eigenvalue 1 = 1. Determine the matrix A = = : 011 a12 A22 A12 a22 Give the answer correct to the first decimal place.