Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
The problem presents a transformation \( T \) applied on vectors. We have the following given transformations: \[ T \begin{bmatrix} 1 \\ 1 \end{bmatrix} = \begin{bmatrix} 0 \\ 1 \\ 2 \end{bmatrix} \] and \[ T \begin{bmatrix} 3 \\ 4 \end{bmatrix} = \begin{bmatrix} -3 \\ 6 \\ 5 \end{bmatrix} \] You are tasked to find: \[ T \begin{bmatrix} 3 \\ 5 \end{bmatrix} \] The instruction indicates not to use guess and check for linear combinations.
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Transcribed Image Text:The problem presents a transformation \( T \) applied on vectors. We have the following given transformations: \[ T \begin{bmatrix} 1 \\ 1 \end{bmatrix} = \begin{bmatrix} 0 \\ 1 \\ 2 \end{bmatrix} \] and \[ T \begin{bmatrix} 3 \\ 4 \end{bmatrix} = \begin{bmatrix} -3 \\ 6 \\ 5 \end{bmatrix} \] You are tasked to find: \[ T \begin{bmatrix} 3 \\ 5 \end{bmatrix} \] The instruction indicates not to use guess and check for linear combinations.
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