29. For W and B in Exercise 27, find T(ae2x + bex + cer) for the linear transformation T whose matrix representation relative to B,B is [101] A=010 101]
29. For W and B in Exercise 27, find T(ae2x + bex + cer) for the linear transformation T whose matrix representation relative to B,B is [101] A=010 101]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
W=span(e2x,e4x,e8x) and B=(e2x,e4x,e8x)
![For \( W \) and \( B \) in Exercise 27, find \( T(ae^{2x} + be^x + ce^{3x}) \) for the linear transformation \( T \) whose matrix representation relative to \( B, B \) is
\[
A = \begin{bmatrix}
1 & 0 & 1 \\
0 & 1 & 0 \\
1 & 0 & 1
\end{bmatrix}.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd11102b1-e9d2-4b8f-a3bc-cb638b777a97%2F3e0331a2-5f61-4383-90e4-54cbc2e33c3a%2F975kfsg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For \( W \) and \( B \) in Exercise 27, find \( T(ae^{2x} + be^x + ce^{3x}) \) for the linear transformation \( T \) whose matrix representation relative to \( B, B \) is
\[
A = \begin{bmatrix}
1 & 0 & 1 \\
0 & 1 & 0 \\
1 & 0 & 1
\end{bmatrix}.
\]
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