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Induction and Eigenvalue Problems in Linear Algebra by Cody Sage is a document available to read on EtoBox.

What is Induction and Eigenvalue Problems in Linear Algebra about?

1) The document proves that the characteristic polynomial of a matrix A is a polynomial in x of degree n with highest term (-1)^n x^n, using mathematical induction on the dimension n. 2) It provides examples and counterexamples to statements about eigenvalues and eigenvectors of matrices. 3) It asks questions about properties of eigenvalues, eigenvectors, and diagonalizability of matrices and linear operators. Proofs by counter example and using previous theorems are provided.

Author

Cody Sage

Language

EN