41 [2₂] [4] Is a linear combination of the vectors V1, V2 and 73? Let w = 100 W= - 28 V₁ = Check All Parts v2 w is a linear combination of 71, 72 and 73 w is not a linear combination of 71, 72 and 73 v₁ + and 73 If possible, write was a linear combination of the vectors 71, 72 and 73. If w is not a linear combination of the vectors 1, 2 and 73, type "DNE" in the boxes. v₂ + = [5]. V3
41 [2₂] [4] Is a linear combination of the vectors V1, V2 and 73? Let w = 100 W= - 28 V₁ = Check All Parts v2 w is a linear combination of 71, 72 and 73 w is not a linear combination of 71, 72 and 73 v₁ + and 73 If possible, write was a linear combination of the vectors 71, 72 and 73. If w is not a linear combination of the vectors 1, 2 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
![Let \(\vec{w} = \begin{bmatrix} 100 \\ -28 \end{bmatrix}\), \(\vec{v}_1 = \begin{bmatrix} 9 \\ -2 \end{bmatrix}\), \(\vec{v}_2 = \begin{bmatrix} 41 \\ -9 \end{bmatrix}\) and \(\vec{v}_3 = \begin{bmatrix} -5 \\ -5 \end{bmatrix}\).
Is \(\vec{w}\) a linear combination of the vectors \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\)?
- \( \vec{w} \) is a linear combination of \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\)
- \( \vec{w} \) is not a linear combination of \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\)
If possible, write \(\vec{w}\) as a linear combination of the vectors \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\).
If \(\vec{w}\) is not a linear combination of the vectors \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\), type "DNE" in the boxes.
\[
\vec{w} = \square \vec{v}_1 + \square \vec{v}_2 + \square \vec{v}_3
\]
\[ \text{[Check All Parts]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2a99bde-e99a-4ca5-bad3-91849c93fae5%2Fe6bb8dfd-4156-4d86-870d-fb0ab0b766f5%2F7z0dfb_processed.png&w=3840&q=75)
Transcribed Image Text:Let \(\vec{w} = \begin{bmatrix} 100 \\ -28 \end{bmatrix}\), \(\vec{v}_1 = \begin{bmatrix} 9 \\ -2 \end{bmatrix}\), \(\vec{v}_2 = \begin{bmatrix} 41 \\ -9 \end{bmatrix}\) and \(\vec{v}_3 = \begin{bmatrix} -5 \\ -5 \end{bmatrix}\).
Is \(\vec{w}\) a linear combination of the vectors \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\)?
- \( \vec{w} \) is a linear combination of \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\)
- \( \vec{w} \) is not a linear combination of \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\)
If possible, write \(\vec{w}\) as a linear combination of the vectors \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\).
If \(\vec{w}\) is not a linear combination of the vectors \(\vec{v}_1\), \(\vec{v}_2\) and \(\vec{v}_3\), type "DNE" in the boxes.
\[
\vec{w} = \square \vec{v}_1 + \square \vec{v}_2 + \square \vec{v}_3
\]
\[ \text{[Check All Parts]} \]
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