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December 22nd, 2009, 01:56 AM   #1
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Eigenvalues problem

Plz help me to find the answer for following question;

A matrix



Find
(a) Find Eigen valves A
(b) Egen vectors A
(c) obtain a matrix P such that is a diagonal matrix
(d) If , state the special property of each of and
(e) Using the above result reduce the quadratic from Q(x) to form Q(y) where


(f) obtain the relationship between and

Now I solved part (a) as follows

the result gain

and

part (b) solved as follows


then if

also I did for

now I need help to find rest of parts in this question, also I need to know the above calculations are in correct or not!! if some are in incorrect plz. let me know the place and how I correct it
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