|
|
|
|
|
Characteristic EquationIn linear algebra, the characteristic equation of a square matrix A is the equation in one variable λ -
where I is the identity matrix. The solutions of the characteristic equation are precisely the eigenvalues of the matrix A. The polynomial to the left of "=" is the characteristic polynomial of the matrix. For example, for the matrix -
the characteristic equation is -
=\lambda^2-45\lambda+500=(\lambda-25)(\lambda-20)=0. The eigenvalues of this matrix are therefore 20 and 25.
|
 |
|
| Copyright 2005-2009 OnPedia.com. All Rights Reserved |
|
|