Help IJUSTIN Mbogo (110090753) I Logot\ Gradebook-\ Extemal *\ 10\ Remaining Time:

03.52:02

\ For the symmetric matrix\

A=([2,2,2],[2,1,0],[2,0,3])

\ find a diagonal matrix

D

and an orthogonal matrix

P

for which

P^(T)AP=D

. The matrix

D

should have its diagonal entries in increasing order from fop le to bottom right.\ Use: the characteristic polynomial of

A

is

C_(A)(\\\\lambda )=-\\\\lambda ^(3)+6\\\\lambda ^(2)-3\\\\lambda -10

, and one of its roots is 2

For the symmetric matrix A=222210203 find a diagonal matrix D and an orthogonal matrix P for which PTAP=D. The matrix D should have its diagonal entries in increasing order from top 1 to bottom right. Use: the characteristic polynomial of A is CA()=3+62310, and one of its roots is 2