[19]. 4 Is a linear combination of the vectors 71, 72 and 73? Let - [63] 13 V1 = = V₂ - O is a linear combination of V₁, V2 and 73 O is not a linear combination of ₁, 2 and 3 v₁+ - If possible, write was a linear combination of the vectors V1, V2 and V3. If w is not a linear combination of the vectors 71, 72 and 73, type "DNE" in the boxes. V₂+ -5]. V3
[19]. 4 Is a linear combination of the vectors 71, 72 and 73? Let - [63] 13 V1 = = V₂ - O is a linear combination of V₁, V2 and 73 O is not a linear combination of ₁, 2 and 3 v₁+ - If possible, write was a linear combination of the vectors V1, V2 and V3. If w is not a linear combination of the vectors 71, 72 and 73, type "DNE" in the boxes. V₂+ -5]. V3
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
Subject: Linear Algebra
![Let
\[
\mathbf{w} = \begin{bmatrix} 63 \\ 13 \end{bmatrix}, \quad
\mathbf{v_1} = \begin{bmatrix} 19 \\ 4 \end{bmatrix}, \quad
\mathbf{v_2} = \begin{bmatrix} -5 \\ -1 \end{bmatrix}, \quad
\text{and} \quad
\mathbf{v_3} = \begin{bmatrix} -5 \\ 5 \end{bmatrix}.
\]
Is \(\mathbf{w}\) a linear combination of the vectors \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\)?
- \( \circ \) \(\mathbf{w}\) is a linear combination of \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\).
- \( \circ \) \(\mathbf{w}\) is not a linear combination of \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\).
If possible, write \(\mathbf{w}\) as a linear combination of the vectors \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\).
If \(\mathbf{w}\) is not a linear combination of the vectors \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\), type "DNE" in the boxes.
\[
\mathbf{w} = \boxed{} \, \mathbf{v_1} + \boxed{} \, \mathbf{v_2} + \boxed{} \, \mathbf{v_3}
\]
Options:
- Add Work
- Check All Parts
There are no graphs or diagrams in the image.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcacd034c-fa78-4c92-8a4a-b36d63282179%2F3f6913b9-9767-43ba-97fd-bae774154a84%2Fv3jyrf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
\[
\mathbf{w} = \begin{bmatrix} 63 \\ 13 \end{bmatrix}, \quad
\mathbf{v_1} = \begin{bmatrix} 19 \\ 4 \end{bmatrix}, \quad
\mathbf{v_2} = \begin{bmatrix} -5 \\ -1 \end{bmatrix}, \quad
\text{and} \quad
\mathbf{v_3} = \begin{bmatrix} -5 \\ 5 \end{bmatrix}.
\]
Is \(\mathbf{w}\) a linear combination of the vectors \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\)?
- \( \circ \) \(\mathbf{w}\) is a linear combination of \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\).
- \( \circ \) \(\mathbf{w}\) is not a linear combination of \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\).
If possible, write \(\mathbf{w}\) as a linear combination of the vectors \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\).
If \(\mathbf{w}\) is not a linear combination of the vectors \(\mathbf{v_1}, \mathbf{v_2},\) and \(\mathbf{v_3}\), type "DNE" in the boxes.
\[
\mathbf{w} = \boxed{} \, \mathbf{v_1} + \boxed{} \, \mathbf{v_2} + \boxed{} \, \mathbf{v_3}
\]
Options:
- Add Work
- Check All Parts
There are no graphs or diagrams in the image.
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