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[} [2] » 21. Let u = and v = Show that is in k Span {u, v} for all h and k.

[} [2] » 21. Let u = and v = Show that is in k Span {u, v} for all h and k.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 21.** Let \(\mathbf{u} = \begin{bmatrix} 2 \\ -1 \end{bmatrix}\) and \(\mathbf{v} = \begin{bmatrix} 2 \\ 1 \end{bmatrix}\). Show that \(\begin{bmatrix} h \\ k \end{bmatrix}\) is in the Span\(\{\mathbf{u}, \mathbf{v}\}\) for all \(h\) and \(k\).
Transcribed Image Text:**Problem 21.** Let \(\mathbf{u} = \begin{bmatrix} 2 \\ -1 \end{bmatrix}\) and \(\mathbf{v} = \begin{bmatrix} 2 \\ 1 \end{bmatrix}\). Show that \(\begin{bmatrix} h \\ k \end{bmatrix}\) is in the Span\(\{\mathbf{u}, \mathbf{v}\}\) for all \(h\) and \(k\).
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