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Finding eigenvalues

Working from the characteristic polynomial to decide whether a non-zero matrix can have zero as its only eigenvalue.

Matrix Theory and Linear Algebra, Finding eigenvalues

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1 exercise

Exercise 8.2.8

Is it possible for a non-zero matrix to have only $0$ as an eigenvalue?

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.