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

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 78E: Find all values of the angle for which the matrix A=[cossinsincos] has real eigenvalues. Interpret...
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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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