Question 4. Let A be a 3 x 3 real symmetric matrix with characteristic polynomial (t - 2)"(t -3). Recall that all real symmetric matrices diagonalize over the real numbers in an orthonormal basis (a) If A find an orthonormal basis in which A diagonalizes, find a diagonal matrix equivalent to A and give A or explain why you do not have enough information to do so.. 1 2 (b) If A find an orthonormal basis in which A diagonalizes, find a diagonal matrix equivalent to A and give A or explain why you do not have enough information to do so