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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. \[ \begin{bmatrix} 1 & 0 \\ 0 & 0 \end{bmatrix} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e25041d-7573-46df-b9d3-ec2dd7694c16%2Fbd843d39-af57-428f-ab42-124c489c0506%2Fmzfkfhu_processed.jpeg&w=3840&q=75)
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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