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Using the variable λ to represent eigenvalues, this characteristic polynomial is to
be interpreted as λ
3
-2λ
2
-22λ +21=0.
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 ].
For example, in exact mode, the following exercise produces an empty list as
the solution:
Change mode to Approx and repeat the entry, to get the following eigenvalues:
[(1.38,2.22), (1.38,-2.22), (-1.76,0)].
Function EGV
Function EGV (EiGenValues and eigenvectors) produces the eigenvalues and
eigenvectors of a square matrix. The eigenvectors are returned as the columns
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.