What is an eigenvalue exactly. I have been using it for years, and I am still trying to wrap my mind around it.  I've used it in classical Linear Algebra, and I a have used it in with trigonometric wave functions.  I don't quite understand what I am doing.

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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What is an eigenvalue exactly. I have been using it for years, and I am still trying to wrap my mind around it.  I've used it in classical Linear Algebra, and I a have used it in with trigonometric wave functions.  I don't quite understand what I am doing.

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We need to explain Eigenvalue by taking the reference of the classical linear algebra and the trigonometric functions respectively.

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