4.5.) Diagonalizability of a matrix is unrelated to its invertiblity Determine for the following four matrices whether they are diagnalizable and/or invertible. 10 10 01 + + 117 1 O 0 1 00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4.5
**4.5 Diagonalizability of a Matrix**

Determine for the following four matrices whether they are diagonalizable and/or invertible:

1. \[ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \]

2. \[ \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix} \]

3. \[ \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \]

4. \[ \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix} \]
Transcribed Image Text:**4.5 Diagonalizability of a Matrix** Determine for the following four matrices whether they are diagonalizable and/or invertible: 1. \[ \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \] 2. \[ \begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix} \] 3. \[ \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix} \] 4. \[ \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix} \]
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