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Let A 1 2 −1 -2 3 -2 -1 1 1 Diagonalize A to find A100.

Let A 1 2 −1 -2 3 -2 -1 1 1 Diagonalize A to find A100.

Advanced Engineering Mathematics
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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Let \( A = \begin{bmatrix} 1 & -2 & -1 \\ 2 & -1 & 1 \\ -2 & 3 & 1 \end{bmatrix} \). Diagonalize \( A \) to find \( A^{100} \).
Transcribed Image Text:Let \( A = \begin{bmatrix} 1 & -2 & -1 \\ 2 & -1 & 1 \\ -2 & 3 & 1 \end{bmatrix} \). Diagonalize \( A \) to find \( A^{100} \).
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