For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. A = 145 0 012-5 A nonzero vector in Nul A is (Type an integer or decimal for each matrix element.) A nonzero vector in Col A is (Type an integer or decimal for each matrix element.)
For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A. A = 145 0 012-5 A nonzero vector in Nul A is (Type an integer or decimal for each matrix element.) A nonzero vector in Col A is (Type an integer or decimal for each matrix element.)
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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![**Activity: Finding Nonzero Vectors in Nul A and Col A**
For the matrix \( A \) below, find a nonzero vector in the null space (Nul A) and a nonzero vector in the column space (Col A).
\[
A = \begin{bmatrix}
1 & 4 & 5 & 0 \\
0 & 1 & 2 & -5
\end{bmatrix}
\]
**Questions:**
- A nonzero vector in Nul A is \(\_\).
*(Type an integer or decimal for each matrix element.)*
- A nonzero vector in Col A is \(\_\).
*(Type an integer or decimal for each matrix element.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe763e4e-f795-40b2-8fd9-57a3e5a9095e%2Feec48238-48df-47cb-83b6-cdb6ee90fd97%2F5h18g7r_processed.png&w=3840&q=75)
Transcribed Image Text:**Activity: Finding Nonzero Vectors in Nul A and Col A**
For the matrix \( A \) below, find a nonzero vector in the null space (Nul A) and a nonzero vector in the column space (Col A).
\[
A = \begin{bmatrix}
1 & 4 & 5 & 0 \\
0 & 1 & 2 & -5
\end{bmatrix}
\]
**Questions:**
- A nonzero vector in Nul A is \(\_\).
*(Type an integer or decimal for each matrix element.)*
- A nonzero vector in Col A is \(\_\).
*(Type an integer or decimal for each matrix element.)*
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