x1 1. Let x = j4, x2 = (4,1,3,4), y = (1,9,5,5). Let V = L(x1, x2). a. Use Gram-Schmidt orthogonalization to find mutually orthogonal vectors v1, v2 such that V = L(v1, v2). b. Find the projection matrix P onto V. == c. Find y = p(y|V) and e = y-y. d. Find = p(y|x) and 2 = p(y|x2) and show that + 1 + 12. 1 e. Verify that e 1 V. f. Find ||y||2, ||||, ||e||2, and verify that the Pythagorean Theorem holds. Compute |||| directly from and also by using the formula |||| = y Py.