Difference between revisions of "Characteristic polynomial"
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| + | The '''characteristic polynomial''' of a square [[matrix]] <math>A</math> is given by, | ||
| + | :<math>f(\lambda) = \det(A-\lambda I)</math> | ||
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| + | where <math>I</math> is the [[identity matrix]]. The [[root]]s of this [[polynomial]] are the [[eigenvalue]]s of the matrix. | ||
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| + | [[Category:Linear algebra]] | ||
Revision as of 20:59, July 13, 2009
The characteristic polynomial of a square matrix <math>A</math> is given by,
- <math>f(\lambda) = \det(A-\lambda I)</math>
where <math>I</math> is the identity matrix. The roots of this polynomial are the eigenvalues of the matrix.