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characteristic polynomial

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English

Noun

Singular
characteristic polynomial

Plural
{{{1}}}

characteristic polynomial ({{{1}}})
  1. (linear algebra) The determinant, of a matrix minus an indeterminant times the identity matrix
    The characteristic polynomial of <math>\left(\begin{array}{cc}1 & 4\\3 & -5\end{array}\right)</math> is <math>\mathbf{Det}\left(\begin{array}{cc}1-x & 4\\ 3 & -5-x\end{array}\right)</math>.

Usage notes

Equally many authors instead subtract the matrix from the indeterminant times the identity matrix. But the result only differs by multiplication by -1, which isn't important where characteristic polynomials are studied.

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