14. A = B = [1 ~ 3 NO NC hové - ลด and a b 0 0 0 0 0 58 0-9 0
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
Assume that A is row equivalent to B. Find the bases for Nul A, Col A and Row A
![The image contains two matrices labeled \( A \) and \( B \).
**Matrix \( A \):**
\[
A = \begin{bmatrix}
1 & 2 & -5 & 11 & -3 \\
2 & 4 & -5 & 15 & 2 \\
1 & 2 & 0 & 4 & 5 \\
3 & 6 & -5 & 19 & -2
\end{bmatrix}
\]
Matrix \( A \) is a 4x5 matrix with four rows and five columns.
**Matrix \( B \):**
\[
B = \begin{bmatrix}
1 & 2 & 0 & 4 & 5 \\
0 & 0 & 5 & -7 & 8 \\
0 & 0 & 0 & 0 & -9 \\
0 & 0 & 0 & 0 & 0
\end{bmatrix}
\]
Matrix \( B \) is also a 4x5 matrix with four rows and five columns.
Both matrices contain integer elements and are structured to illustrate differences in values and configurations, which can be useful for educational purposes such as explaining matrix operations or transformations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8fabc15-e5db-480c-94d9-e42b67b656a8%2F2ecee512-6491-4be2-bcfb-2f537968bf78%2Fq005gq4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains two matrices labeled \( A \) and \( B \).
**Matrix \( A \):**
\[
A = \begin{bmatrix}
1 & 2 & -5 & 11 & -3 \\
2 & 4 & -5 & 15 & 2 \\
1 & 2 & 0 & 4 & 5 \\
3 & 6 & -5 & 19 & -2
\end{bmatrix}
\]
Matrix \( A \) is a 4x5 matrix with four rows and five columns.
**Matrix \( B \):**
\[
B = \begin{bmatrix}
1 & 2 & 0 & 4 & 5 \\
0 & 0 & 5 & -7 & 8 \\
0 & 0 & 0 & 0 & -9 \\
0 & 0 & 0 & 0 & 0
\end{bmatrix}
\]
Matrix \( B \) is also a 4x5 matrix with four rows and five columns.
Both matrices contain integer elements and are structured to illustrate differences in values and configurations, which can be useful for educational purposes such as explaining matrix operations or transformations.
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