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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.
where <math>I</math> is the [[identity matrix]]. The [[root]]s of this [[polynomial]] are the [[eigenvalue]]s of the matrix.
The degree of this polynomial equals the length of the matrix's side. The number of roots therefore also equals this number, though some roots may be repeated.
[[Category:Linear algebra]]
[[Category:Linear algebra]]