Question: 2 please explain it a, b, and c 2. In each part, apply the Gram-Schmidt process to the given subset S of the inner product
2 please explain it a, b, and c

2. In each part, apply the Gram-Schmidt process to the given subset S of the inner product space V to obtain an orthogonal basis for span(S). Then normalize the vectors in this basis to obtain an orthonormal basis 3 for span(S), and compute the Fourier coefficients of the given vector relative to B. Finally, use Theorem 6.5 to verify your result. (a) V = R3, S = { (1, 0, 1), (0, 1, 1), (1, 3, 3) }, and x = (1, 1, 2) (b) V = R3, S = {(1, 1, 1), (0, 1, 1), (0, 0, 1) }, and x = (1, 0, 1) (c) V = P2(R) with the inner product (f(x), g(x)) = So f(t)g(t) at, S = {1,x, x2 }, and h(x) = 1+ x
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
