The following matrix \( A \) has a triple eigenvalue at \( \lambda_1 = -1 \), and a single eigenvalue at \( \lambda_2 = -2 \). Compute its Jordan canonical form.\[A = \begin{pmatrix}-1 & 0 & -1 & 0 \\0 & -1 & 1 & 0 \\-0.5 & -0.25 & -1.5 & 0.25 \\1 & 0.5 & 0 & -1.5\end{pmatrix}.\]

Answered: The following matrix A has a triple…

The following matrix A has a triple eigenvalue at A₁ = -1, and a single eigenvalue at A22. Compute its Jordan canonical form. A -1 0 -0.5 1 0 -1 0 -1 1 0 -0.25 -1.5 0.25 0.5 0 -1.5

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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