12. A linear map T: P (R) → R² satisfies T(x) = (1,-1) and T(1) (1, 2). Find a formula for T(a1x + ao), where a1x + ao E P1(R).

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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12.
(1, 2). Find a formula for T(a1x + ao), where a1x + ao E P1(R).
A linear map T: P(R)·
- R? satisfies T(x) = (1, –1) and T(1)
Transcribed Image Text:12. (1, 2). Find a formula for T(a1x + ao), where a1x + ao E P1(R). A linear map T: P(R)· - R? satisfies T(x) = (1, –1) and T(1)
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