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Problem 8 5 Let A= 2 Calculate the eigenvalues A₁ and A₂ of A, and the corresponding eigenvectors ₁ and 2.

Problem 8 5 Let A= 2 Calculate the eigenvalues A₁ and A₂ of A, and the corresponding eigenvectors ₁ and 2.

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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**Problem 8** Let \[ A = \begin{pmatrix} 5 & 2 \\ 2 & 8 \end{pmatrix}. \] Calculate the eigenvalues \(\lambda_1\) and \(\lambda_2\) of \(A\), and the corresponding eigenvectors \(\vec{v}_1\) and \(\vec{v}_2\).
Transcribed Image Text:**Problem 8** Let \[ A = \begin{pmatrix} 5 & 2 \\ 2 & 8 \end{pmatrix}. \] Calculate the eigenvalues \(\lambda_1\) and \(\lambda_2\) of \(A\), and the corresponding eigenvectors \(\vec{v}_1\) and \(\vec{v}_2\).
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