Consider the symmetric matrix                                 (a) Assuming B 0 = A , using orthogonal iteration, what are the  = 0 approximations for the eigenvalues? (b) Continuing part (a), find B 1...

Consider the symmetric matrix

(a) Assuming
B
₀
=
A, using orthogonal iteration, what are the
 = 0 approximations for the eigenvalues?

(b) Continuing part (a), find
B
₁
when using orthogonal iteration and the resulting approximations for the eigenvalues.

(c) Assuming
C
₀
= A, find
C
₁
when using the
 method.

(d) When using the
 method, what matrix does the
C

_k

matrices converge to?