Let V be a vector space over a field F. Let T:V → V and S :V → V be linear transformations. Let x E V with x + 0. Prove: If x is an eigenvector of T and x is an eigenvector of S, then x is an eigenvector of So T.
Let V be a vector space over a field F. Let T:V → V and S :V → V be linear transformations. Let x E V with x + 0. Prove: If x is an eigenvector of T and x is an eigenvector of S, then x is an eigenvector of So T.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 16RQ
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