Chapter 6 Eigenvalues and Eigenvectors
6.1. Introduction to Eigenvalues 289 To explain eigenvalues, we first explain eigenvectors. Almo st all vectors change di-rection, when they are multiplied by A. Certain exceptional vectors x are in the same direction as Ax. Those are the “eigenvectors” . Multiply an eigenvector by A, and the vector Ax is a number λ times the original x.
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