2 3 Given A = 2 and B = 5 5 use the Frobenius inner product and the corresponding induced norm to determine the value of each of the following: (A, B) = 1BlIF = radians.If p(x) 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 , |Ipl|, |all, and the angle 0 between p(x) and q() for p(x) = 3x' + 4 and q(x) = 3x' - 2r. Ilpll = llall = 8 = radians.Use the inner product = p(-1)q(-1) + p(0)q(0) + p(2)q(2) in Px to find the orthogonal projection of p(x) = 2x3 + 5x -9 onto the line L spanned by q(x) = 3x - 3x - 6. projL(p) =