Please answer using the steps given below!

Gram-Schmidt Orthogonalization Given V an n-dimensional inner product space over field F with basis {ul, u2, us, ..., Un} Step 1: U1 01 = Step 2: Let Wi = Span(v1) Calculate: projw, U2 = v] U2 -projw, U2 Let: 12 Juz-projwuz Step 3: Let W2 = Span(v1, V2) Calculate: projw, uz = Vit V2 U3 -projwzu3 Let: 13 u3 -projwu3 Step n: Let Wn-1 = Span(v1, V2, ..., Un-1) Calulate: projwn-, Un = Zi= Vi Un -projwntun Let: Un = Jun-projwn-1 Unll Then {v1, V2, Vg, .., Un} is an Orthonormal Basis for V\f4) Build an ONB for 3" degree or smaller polynomials on [0.1] from f1 = 7 f2 = x+1 f3 = x2 f4 = x3 + x Recall: = S_ fgdx