![Matrix theory / Abstract algebra / Spectral theory / Eigenvalues and eigenvectors / Singular value decomposition / Characteristic polynomial / Trace / Matrix / Vector space / Algebra / Mathematics / Linear algebra Matrix theory / Abstract algebra / Spectral theory / Eigenvalues and eigenvectors / Singular value decomposition / Characteristic polynomial / Trace / Matrix / Vector space / Algebra / Mathematics / Linear algebra](https://www.pdfsearch.io/img/8bc4116abd04be11a053d5a207732a1b.jpg) Date: 2002-12-16 01:43:24Matrix theory Abstract algebra Spectral theory Eigenvalues and eigenvectors Singular value decomposition Characteristic polynomial Trace Matrix Vector space Algebra Mathematics Linear algebra | | 7.2 FINDING THE EIGENVALUES OF A MATRIX Consider an n × n matrix A and a scalar λ. By definition λ is an eigenvalue of A if there is a nonzero vector ~v in Rn such that A~v = λ~v
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