Question: Let V = P3 = {o + x + ax + a3x | 0, A, A2, a3 R} be a vector space of polynomials

Let V = P3 = {o + x + ax + a3x

Let V = P3 = {o + x + ax + a3x | 0, A, A2, a3 R} be a vector space of polynomials of degree 3. a) Extend the linear independent vectors 1 + x, x x to a basis of P3. (12pt.) b) Let W be a supspace of P spanned by w = x + x, w2 = x x ve w3 = x + x + 2x. Find the coordinate matrix of u = x x + x with respect to a basis of W. (13pt.)

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