Hp 50g Graphing Calculator Manual do Utilizador descarregar pdf (Página 374)

of a matrix, while the corresponding eigenvalues are the components of a

For example, in ALG mode, the eigenvectors and eigenvalues of the matrix

listed below are found by applying function EGV:

The result shows the eigenvalues as the columns of the matrix in the result list.

To see the eigenvalues we can use: GET(ANS(1),2), i.e., get the second

element in the list in the previous result. The eigenvalues are:

= [ 1.00,0.79,–0.91]

= [1.00,-0.51, 0.65]

= [-0.03, 1.00, 0.84]

Function JORDAN

Function JORDAN is intended to produce the diagonalization or Jordan-cycle

decomposition of a matrix. In RPN mode, given a square matrix A, function

JORDAN produces four outputs, namely:

• The minimum polynomial of matrix A (stack level 4)

• The characteristic polynomial of matrix A (stack level 3)

Note: A symmetric matrix produces all real eigenvalues, and its eigenvectors

are mutually perpendicular. For the example just worked out, you can check

Sem comentários

Hp 50g Graphing Calculator Manual do Utilizador Página 374