Suppose now that dim(V) is even, but F is still R. Tell me how to make T's with no real eigenvalues. (Do the cases of dimension 2, 4, 6, and by then you should have the idea.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CR: Review Exercises
Problem 15CR: For what values of a does the matrix A=[01a1] have the characteristics below? a A has eigenvalue of...
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6. Suppose now that dim(V) is even, but F is still R. Tell me how to
make T's with no real eigenvalues. (Do the cases of dimension 2, 4, 6,
and by then you should have the idea.)
Transcribed Image Text:6. Suppose now that dim(V) is even, but F is still R. Tell me how to make T's with no real eigenvalues. (Do the cases of dimension 2, 4, 6, and by then you should have the idea.)
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