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Niles
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[SOLVED] Linear transformation - adding and subtracting?
Suppose T : P2 -> P2 is a linear transformation satisfying T(3 − x + 4x^2) = 1 + x − x^2 and
T(2 − 3x + 2x^2) = 7 + 3x + 2x^2.
Find T(7x + 2x^2).
First of all, it's linear. To find T(2x^2), I can say -x^2-2x^2 = -3x^2 = T(2x^2)? And similarily for T(7x)?
Homework Statement
Suppose T : P2 -> P2 is a linear transformation satisfying T(3 − x + 4x^2) = 1 + x − x^2 and
T(2 − 3x + 2x^2) = 7 + 3x + 2x^2.
Find T(7x + 2x^2).
The Attempt at a Solution
First of all, it's linear. To find T(2x^2), I can say -x^2-2x^2 = -3x^2 = T(2x^2)? And similarily for T(7x)?