Example 8.  Find the eigenvalues and eigenvectors of the matrix  [Graphics:Images/EigenvaluesMod_gr_331.gif].

Solution 8.

[Graphics:../Images/EigenvaluesMod_gr_332.gif]

[Graphics:../Images/EigenvaluesMod_gr_333.gif]

[Graphics:../Images/EigenvaluesMod_gr_334.gif]

 

 

Symbolic solution of the eigenvectors for this example can be done, however the numerical solution is easier to read.

[Graphics:../Images/EigenvaluesMod_gr_335.gif]



[Graphics:../Images/EigenvaluesMod_gr_336.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004