Let A be the matrix of the quadratic form below. It can be shown that the eigenvalues of A are 5, 8, and 11. Find an orthogonal matrix P such that the change of variable x = Py transforms x Ax into a quadratic form with no cross-produc term. Give P and the new quadratic form. 8x+7x+9x-4x1x2+4x13 C. 37 - 19 27 37 27 37 69 7 Which of the following matrices can be used in x = Py to produce a quadratic form with no cross-product term? O A. 5- 2 2 0 0 1 0 0 B. 23 13 23 13 23 23 - - 23 23 -- 113 The corresponding quadratic form is y Dy = (Simplify your answer.) 6 7 19 27