For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. A = 3 2 - 12 -6 1 1 0 - 12 26 6-2 - 10
For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. A = 3 2 - 12 -6 1 1 0 - 12 26 6-2 - 10
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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Question
![For the matrix \( A \) below, find a nonzero vector in \( \text{Nul } A \) and a nonzero vector in \( \text{Col } A \).
\[
A = \begin{bmatrix}
3 & 2 & 1 & 1 \\
-12 & -6 & 0 & -12 \\
6 & -2 & -10 & 26
\end{bmatrix}
\]
---
Find a nonzero vector in \( \text{Nul } A \).
\[ \square \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46029127-96a5-4dc2-997a-3c090d1aab2d%2F3a9f513f-517e-4c18-a1b8-b05ea27f4d7e%2Fgz2h8a3_processed.png&w=3840&q=75)
Transcribed Image Text:For the matrix \( A \) below, find a nonzero vector in \( \text{Nul } A \) and a nonzero vector in \( \text{Col } A \).
\[
A = \begin{bmatrix}
3 & 2 & 1 & 1 \\
-12 & -6 & 0 & -12 \\
6 & -2 & -10 & 26
\end{bmatrix}
\]
---
Find a nonzero vector in \( \text{Nul } A \).
\[ \square \]
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