(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

There is a linear transformation T from P1 to P1 where P1 is the set of all polynomials of degree at least 1.

T(1 + 2x) = 2 + 4x and T(4 + 7x) = -2 + 2x

Find T(-3 - 5x).

2. Relevant equations

T(1 + 2x) = 2 + 4x

T(4 + 7x) = -2 + 2x

3. The attempt at a solution

Basis B1 = [1, 2] [4, 7]

Basis B2 = [2, 4] [-2, 2]

[-3, -5] in terms of Basis 1 = [1, -1], bring that into Basis 1 gives you 1*[2, 4x] + -1*[-2, 2x] = [0, 6x]

The answer is not 6x.

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# Homework Help: There is a linear transformation from P1 to P1

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