Determine the eigenvalues and eigenvectors of the following matrix: 6 [39]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Determine the eigenvalues and eigenvectors of the following matrix:
-3 6
-3 3
Enter X = a +3 i where 3 > 0. Enter the eigenvector as a vector with complex-valued entries. Note that if you found the
eigenvector using ₂ = a-3. i then the desired vector is the complex conjugate of this vector. That is, you do not need to
compute the eigenvector again!
Separate the coordinates of the vectors with commas.
λ =
V
Transcribed Image Text:Determine the eigenvalues and eigenvectors of the following matrix: -3 6 -3 3 Enter X = a +3 i where 3 > 0. Enter the eigenvector as a vector with complex-valued entries. Note that if you found the eigenvector using ₂ = a-3. i then the desired vector is the complex conjugate of this vector. That is, you do not need to compute the eigenvector again! Separate the coordinates of the vectors with commas. λ = V
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