Question: 2. Find the domain, codomain, kernel and range, rank and nullity, of the following linear transformations: (a) [6 pts] D: P2 P given by

2. Find the domain, codomain, kernel and range, rank and nullity, of

2. Find the domain, codomain, kernel and range, rank and nullity, of the following linear transformations: (a) [6 pts] D: P2 P given by derivative. For example, D(3x 2x + 1) = 6x 2. (b) [2 pts] D: P2 P11 given by derivative. (c) [6 pts] T: P2 R defined by T(p(x)) = (p(0), p(1)). For example, T(3x - 2x+1) (1, 2). = (d) [6 pts] T: M2x2 P2 defined by T(ab) = cx + bx + a + d. For example, T(2) = 3x + 2x + 5.

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