Source: wikibot/spectrum-of-a-matrix
= Spectrum of a matrix
{wiki=Spectrum_of_a_matrix}
The spectrum of a matrix refers to the set of its eigenvalues. If \\( A \\) is an \\( n \\times n \\) matrix, then the eigenvalues of \\( A \\) are the scalars \\( \\lambda \\) such that the equation \\\[ A \\mathbf\{v\} = \\lambda \\mathbf\{v\} \\\] has a non-trivial solution (where \\( \\mathbf\{v\} \\) is a non-zero vector, known as an eigenvector).