Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![Consider the following matrix:
\[ A = \begin{bmatrix} 1 & -2 & 3 & 0 & -3 \\ -3 & 6 & -9 & 0 & 9 \\ -2 & 5 & -9 & -2 & 9 \end{bmatrix} \]
Give a basis for each of im(\(A\)) and null(\(A\)).
**Number of Vectors:** 1
Basis for im(\(A\)):
\[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \]
**Number of Vectors:** 1
Basis for null(\(A\)):
\[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \]](https://content.bartleby.com/qna-images/question/80321e65-f5af-4407-990e-2a73bdb503ea/d4214036-d3aa-4aca-b93a-a16fb858356a/xjl3vzn_processed.png)
Transcribed Image Text:Consider the following matrix:
\[ A = \begin{bmatrix} 1 & -2 & 3 & 0 & -3 \\ -3 & 6 & -9 & 0 & 9 \\ -2 & 5 & -9 & -2 & 9 \end{bmatrix} \]
Give a basis for each of im(\(A\)) and null(\(A\)).
**Number of Vectors:** 1
Basis for im(\(A\)):
\[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \]
**Number of Vectors:** 1
Basis for null(\(A\)):
\[ \left\{\begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix}\right\} \]
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