Example 5: Find the rank of the following matrices: 1. -2 -4 4 A = 6 -6 -4 -2 -4 4 9 2. A = [1 2 5] 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Example 5:** Find the rank of the following matrices:

1. \[
A = \begin{bmatrix} -2 & -4 & 4 & 5 \\ 3 & 6 & -6 & -4 \\ -2 & -4 & 4 & 9 \end{bmatrix}
\]

2. \[
A = \begin{bmatrix} 1 & 2 & 5 \end{bmatrix}
\]

3. \[
A = \begin{bmatrix} -2 & -4 \\ 3 & 6 \end{bmatrix}
\]
Transcribed Image Text:**Example 5:** Find the rank of the following matrices: 1. \[ A = \begin{bmatrix} -2 & -4 & 4 & 5 \\ 3 & 6 & -6 & -4 \\ -2 & -4 & 4 & 9 \end{bmatrix} \] 2. \[ A = \begin{bmatrix} 1 & 2 & 5 \end{bmatrix} \] 3. \[ A = \begin{bmatrix} -2 & -4 \\ 3 & 6 \end{bmatrix} \]
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