Difference between revisions of "Characteristic polynomial"
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:<math>f(\lambda) = \det(A-\lambda I)</math> | :<math>f(\lambda) = \det(A-\lambda I)</math> | ||
| − | where <math>I</math> is the [[identity matrix]]. The zeros of this polynomial are the | + | where <math>I</math> is the [[identity matrix]]. The zeros of this polynomial are the [[eigenvalue]]s of the matrix. |
[[Category:Linear algebra]] | [[Category:Linear algebra]] | ||
Revision as of 02:04, July 4, 2008
The characteristic polynomial of a square matrix is given by,
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(\lambda) = \det(A-\lambda I)}
where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle I} is the identity matrix. The zeros of this polynomial are the eigenvalues of the matrix.