Given A = and B 2 5 5 use the Frobenius inner product and the corresponding induced norm to determine the value of each of the following: (A, B) = 1IBIF = BAB = radians.If p(I) and q(r) are arbitrary polynomials of degree at most 2, then the mapping =p(-2)q(-2) + p(0)q(0) + p(1)q(1) defines an inner product in P3- Use this inner product to find , ||pl|, |gl|, and the angle 0 between p(x) and q(I) for p(x) = 3x' + 4 and q(r) = 3x - 2r.

= = llall = radians.Use the inner product =p(-1)q(-1) + p(0)q(0) + p(2)q(2) in P3 to find the orthogonal projection of p(x) = 2x3 + 5x - 9 onto the line L spanned by q(x) = 3x - 3x - 6. projL(P)