8. Let M212 denote the vector space of all 2 X 2 matrices with real entries and let 732 denote the vector space of all real polynomials of degree at most 2. A linear transformation T: M23 > P2 is dened by (a) Find the matrix that represents T relative to the bases ([3 3H3 3H? 8H3 2]) we (1, 11:, $2) for P2. (b) Find bases for the image and kernel of T. 6. Determine whether or not the following set S is linearly independent in the given vector space V. If the set is linearly dependent, express one of its vectors as a linear combination of the other vectors in the set S. aspgut} V={[_ab g] |a,b,ce]R}