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number of roots may be smaller than degree of the polynomial ....
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.
The degree of this polynomial equals the length of the matrix's side. The number of roots therefore is not greater than this number.
[[Category:Linear algebra]]
[[Category:Linear algebra]]