Characteristic Polynomial of a Matrix
Characteristic Polynomial of a Linear Operator
Now, let be a linear operator on a vector space of dimension . Let and be any two ordered bases for . Then we may form the matrices and . The two matrix representations of are similar matrices, related by a change of bases matrix. Therefore, by the second remark above, we define the characteristic polynomial of , denoted by , in the indeterminate , by
The characteristic equation of is defined accordingly.
|Date of creation||2013-03-22 12:17:47|
|Last modified on||2013-03-22 12:17:47|
|Last modified by||CWoo (3771)|