Question: Define T: P3 P2 by T (a + bx + cx2 + dx3) = b + 2cx + 3dx2. Find the pre-image of 0.

Define T: P3 → P2 by T (a + bx + cx2 + dx3) = b + 2cx + 3dx2. Find the pre-image of 0. Does this linear transformation seem familiar?

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The preimage T 1 0 is the set of all polynomials a bx cx 2 dx 3 so that T a bx cx 2 d... View full answer

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