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8 -2 3 Let A =| 1 4 6 8 -9 -2 7 Find k such that Col A is a subspace of RK

8 -2 3 Let A =| 1 4 6 8 -9 -2 7 Find k such that Col A is a subspace of RK

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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Let \( A = \begin{bmatrix} 8 & 0 & -2 & 3 \\ 1 & 2 & 4 & 6 \\ 8 & -9 & -2 & 7 \end{bmatrix} \) Find \( k \) such that \( \text{Col} A \) is a subspace of \(\mathbb{R}^k\). Options: - ○ 4 - ○ 3 - ○ 7 - ○ 12
Transcribed Image Text:Let \( A = \begin{bmatrix} 8 & 0 & -2 & 3 \\ 1 & 2 & 4 & 6 \\ 8 & -9 & -2 & 7 \end{bmatrix} \) Find \( k \) such that \( \text{Col} A \) is a subspace of \(\mathbb{R}^k\). Options: - ○ 4 - ○ 3 - ○ 7 - ○ 12
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