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3 -4 0 4 Determine the dimension of the subspace of R4 spanned by these vectors. 12 12 3 11 4 -19 1 -5 -2 -18 29 23 The dimension of the subspace spanned by the vectors is Is this set of vectors a basis for R4? O A. Yes O B. No

3 -4 0 4 Determine the dimension of the subspace of R4 spanned by these vectors. 12 12 3 11 4 -19 1 -5 -2 -18 29 23 The dimension of the subspace spanned by the vectors is Is this set of vectors a basis for R4? O A. Yes O B. No

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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**Determine the dimension of the subspace of \( \mathbb{R}^4 \) spanned by these vectors.** \[ \begin{bmatrix} 3 & -12 & 12 & 3 \\ -4 & 11 & 4 & -19 \\ 0 & 1 & -5 & -2 \\ 4 & -18 & 29 & 23 \\ \end{bmatrix} \] **The dimension of the subspace spanned by the vectors is** [ ] **Is this set of vectors a basis for \( \mathbb{R}^4 \)?** - A. Yes - B. No [✓]
Transcribed Image Text:**Determine the dimension of the subspace of \( \mathbb{R}^4 \) spanned by these vectors.** \[ \begin{bmatrix} 3 & -12 & 12 & 3 \\ -4 & 11 & 4 & -19 \\ 0 & 1 & -5 & -2 \\ 4 & -18 & 29 & 23 \\ \end{bmatrix} \] **The dimension of the subspace spanned by the vectors is** [ ] **Is this set of vectors a basis for \( \mathbb{R}^4 \)?** - A. Yes - B. No [✓]
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