Advanced Linear Algebra Flash Quiz 5

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Definitions and proofs for Linear Algebra.

Last updated 6:32 PM on 5/18/26
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4 Terms

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Eigenvalue

T: V—> V is a linear transformation. Then an eigenvector is a nonzero v in V s.t there exists lambda in F with T(v)= lambda v. Then lambda is an ___ for T(wrt v).

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Eigenvector

A _____ of A is a nonzero vector v in F^n such that there exists a scalar satisfying Av=lambda v.

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Eigenspace

The _____ is comprised of zero vectors and all eigenvectors for lambda.

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Characteristic polynomial, characteristic equation

The _____ for A is det(A - lambda In). The _____ for A is det(A - lambda In)=0