Problem 6 Let A be a square matrix of order 4 such that vi =< 3, 10, 0, 1 > is an eigenvector of A associated to eigenvalue 2 and v =< -1,2,3, –1 > is an eigenvector of A associated to eigenvalue 1. Use the definition and properties of eigenvalues/eigenvectors to compute A° (4v – 5v2).

Linear Algebra: A Modern Introduction
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Chapter4: Eigenvalues And Eigenvectors
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Problem 6
Let A be a square matrix of order 4 such that vi =< 3, 10, 0, 1 > is an
eigenvector of A associated to eigenvalue 2 and v =< -1,2,3, –1 > is an
eigenvector of A associated to eigenvalue 1.
Use the definition and properties of eigenvalues/eigenvectors to compute
A° (4v – 5v2).
Transcribed Image Text:Problem 6 Let A be a square matrix of order 4 such that vi =< 3, 10, 0, 1 > is an eigenvector of A associated to eigenvalue 2 and v =< -1,2,3, –1 > is an eigenvector of A associated to eigenvalue 1. Use the definition and properties of eigenvalues/eigenvectors to compute A° (4v – 5v2).
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