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

x

then if

[tex]x

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