4. Let V be a vector space over C and let L: V → V be a linear transformation. State the definition of an eigenvector of L. (b) Let A E C be arbitrary. State the definition of V₁, the X-eigenspace of L, and prove that it is a subspace of V.
4. Let V be a vector space over C and let L: V → V be a linear transformation. State the definition of an eigenvector of L. (b) Let A E C be arbitrary. State the definition of V₁, the X-eigenspace of L, and prove that it is a subspace of V.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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