Determine whether the set of vectors in M2.2 is linearly independent or linearly dependent. [ 2 -2 5 3 1 -7 A = 4 В - 4 C = -3 22 21 linearly independent O linearly dependent
Determine whether the set of vectors in M2.2 is linearly independent or linearly dependent. [ 2 -2 5 3 1 -7 A = 4 В - 4 C = -3 22 21 linearly independent O linearly dependent
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 whether the set of vectors in \( M_{2,2} \) is linearly independent or linearly dependent.
\[
A = \begin{bmatrix} 2 & -2 \\ 4 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} 5 & 3 \\ -3 & 2 \end{bmatrix}, \quad C = \begin{bmatrix} 1 & -7 \\ 22 & 21 \end{bmatrix}
\]
- ☐ linearly independent
- ☐ linearly dependent](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F58591baa-c0bc-433b-b6a8-54571afeaf18%2F595dd0eb-fe2b-4671-aaa9-02c70f72df1e%2Fimh642a_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether the set of vectors in \( M_{2,2} \) is linearly independent or linearly dependent.
\[
A = \begin{bmatrix} 2 & -2 \\ 4 & 4 \end{bmatrix}, \quad B = \begin{bmatrix} 5 & 3 \\ -3 & 2 \end{bmatrix}, \quad C = \begin{bmatrix} 1 & -7 \\ 22 & 21 \end{bmatrix}
\]
- ☐ linearly independent
- ☐ linearly dependent
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