Question: Please review question Q2 6 Points Let Pg be the vector space of polynomials of degree less than 3. (a) Find the transition matrix S

Please review question

Q2 6 Points Let Pg be the vector space of polynomials of degree less than 3. (a) Find the transition matrix S representing the change of coordinates on P3 from the standard basis & = {1, x, x' } to the basis B = {2, 1 + 2x, 1+ x + 2x'). That is, find the matrix S for which S p s = P B for every polynomial p e P3. (b) Let q = 7 + 7x + 6x2. Observe that [q] = O JI Use the matrix S found in part (a) to compute 9 B

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