16.-Linear-Algebra-by-Kenneth-Hoffman · Problem 5.4.10

Determinants

Mathematics — Linear Algebra · characteristic-polynomial-roots

Problem

Let AA be an n×nn \times n matrix over the field FF. Prove that there are at most nn distinct scalars cc in FF such that det⁡(cI−A)=0\det(cI - A) = 0.

Related theory

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