MATLAB *This is my matlab homework from Linear algebra course. Please provide me with the matlab codes! thank you :) *

2. Consider the polynomials p1(t) = 1-t+12 +2, po(t) = 1+2t + 3t2 + t, ps(t) = 3 + 5t2 + 5t3, which are all elements of the vector space Ps. We shall investigate the subspace W Spanp(t), p2(t), Ps(t), P), Ps(t) (a) Let vi = Pi (t)le, the coordinate vector of Pi (t) relative to the basis E = {1,t, t*) for P3. Enter b) Let A be the matrix [vi v2 va va vs]. Observe that Span(vi, v2, v3, va, vs) Col(A). Use (c)Translate your previous answer into a basis for W (consisting of polynomials). What is dim W? these coordinate vectors into MATLAB as v1, v2, v3, v4, v5 this fact to compute a basis for Span[vi, V2, V3, V4,Vs>. (Recall you can enter A into MATLAB as A = [v1 v2 v3 v4 v5].) (d) 1; w : : Ps? Juetify your answer 2. Consider the polynomials p1(t) = 1-t+12 +2, po(t) = 1+2t + 3t2 + t, ps(t) = 3 + 5t2 + 5t3, which are all elements of the vector space Ps. We shall investigate the subspace W Spanp(t), p2(t), Ps(t), P), Ps(t) (a) Let vi = Pi (t)le, the coordinate vector of Pi (t) relative to the basis E = {1,t, t*) for P3. Enter b) Let A be the matrix [vi v2 va va vs]. Observe that Span(vi, v2, v3, va, vs) Col(A). Use (c)Translate your previous answer into a basis for W (consisting of polynomials). What is dim W? these coordinate vectors into MATLAB as v1, v2, v3, v4, v5 this fact to compute a basis for Span[vi, V2, V3, V4,Vs>. (Recall you can enter A into MATLAB as A = [v1 v2 v3 v4 v5].) (d) 1; w : : Ps? Juetify your