Consider the following vectors: a = V1 = V2 = 3 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. V3 = -7 10 -10 -2 -6 A MNYA 3 -2 4 < Select an answer > < Select an answer > < Select an answer >
Consider the following vectors: a = V1 = V2 = 3 For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above. V3 = -7 10 -10 -2 -6 A MNYA 3 -2 4 < Select an answer > < Select an answer > < Select an answer >
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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Question
![**Consider the following vectors:**
\[ \mathbf{a} = \begin{bmatrix} 3 \\ 1 \\ -1 \\ 3 \end{bmatrix} \]
\[ \mathbf{b} = \begin{bmatrix} -3 \\ 2 \\ 4 \\ -5 \end{bmatrix} \]
\[ \mathbf{c} = \begin{bmatrix} 3 \\ 4 \\ 4 \\ -1 \end{bmatrix} \]
For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above.
\[ \mathbf{v_1} = \begin{bmatrix} -9 \\ -7 \\ 10 \\ -10 \end{bmatrix} \]
\[ \mathbf{v_2} = \begin{bmatrix} -2 \\ -6 \\ 7 \\ 3 \end{bmatrix} \]
\[ \mathbf{v_3} = \begin{bmatrix} -2 \\ -6 \\ 7 \end{bmatrix} \]
<Select an answer>
<Select an answer>
<Select an answer>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7154a3f3-e619-45a8-a06e-684279d32bee%2F2bf7197b-0bc1-4853-a51b-ae422d60638f%2Fxptuydp_processed.png&w=3840&q=75)
Transcribed Image Text:**Consider the following vectors:**
\[ \mathbf{a} = \begin{bmatrix} 3 \\ 1 \\ -1 \\ 3 \end{bmatrix} \]
\[ \mathbf{b} = \begin{bmatrix} -3 \\ 2 \\ 4 \\ -5 \end{bmatrix} \]
\[ \mathbf{c} = \begin{bmatrix} 3 \\ 4 \\ 4 \\ -1 \end{bmatrix} \]
For each of the following vectors, determine whether it can be written as a linear combination of these vectors. If so, give the linear combination using the vector names above.
\[ \mathbf{v_1} = \begin{bmatrix} -9 \\ -7 \\ 10 \\ -10 \end{bmatrix} \]
\[ \mathbf{v_2} = \begin{bmatrix} -2 \\ -6 \\ 7 \\ 3 \end{bmatrix} \]
\[ \mathbf{v_3} = \begin{bmatrix} -2 \\ -6 \\ 7 \end{bmatrix} \]
<Select an answer>
<Select an answer>
<Select an answer>
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