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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
![Define \( T: P_2 \to \mathbb{R}^2 \) by
\[ T(p) = \begin{bmatrix} p(4) \\ p(6) \end{bmatrix}. \]
Find a non-trivial element of the kernel.
\[
p(t) = \underline{\hspace{3cm}}
\]](https://content.bartleby.com/qna-images/question/d2a435ab-e32d-4bb5-91c7-35592295b90b/92fe09a9-ec50-4580-9084-c25860291869/c28lo9m_thumbnail.png)
Transcribed Image Text:Define \( T: P_2 \to \mathbb{R}^2 \) by
\[ T(p) = \begin{bmatrix} p(4) \\ p(6) \end{bmatrix}. \]
Find a non-trivial element of the kernel.
\[
p(t) = \underline{\hspace{3cm}}
\]
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