Difference between revisions of "Characteristic polynomial"
Jump to navigation
Jump to search
m (word change) |
|||
| Line 3: | Line 3: | ||
:<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 | + | where <math>I</math> is the [[identity matrix]]. The [[root]]s of this [[polynomial]] are the [[eigenvalue]]s of the matrix. |
[[Category:Linear algebra]] | [[Category:Linear algebra]] | ||
Revision as of 08:20, February 5, 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.