Hp 49g+ User Manual download pdf (Page 367)

Using the variable λ to represent eigenvalues, this characteristic polynomial is

to be interpreted as λ

Function EGVL

Function EGVL (EiGenVaLues) produces the eigenvalues of a square matrix.

For example, the eigenvalues of the matrix shown below are calculated in

ALG mode using function EGVL:

The eigenvalues λ = [ -√10, √10 ].

Note: In some cases, you may not be able to find an ‘exact’ solution to the

characteristic polynomial, and you will get an empty list as a result when

using Function EGVL. If that were to happen to you, change the calculation

mode to Approx in the CAS, and repeat the calculation.

For example, in exact mode, the following exercise produces an empty list as

the solution:

Hp 49g+ User Manual Page 367