Suppose that A is a symmetric 4x4 matrix with eigenvalues 0, 1, 4, 5. Define a sequence of vectors x n ∈ R 4 {\displaystyle \mathbf {x} _{n}\in \mathbb {R} ^{4}} by choosing x0 at random, and then settings
for n = 1, 2, .... You then observe that xn converges to
as n → ∞ {\displaystyle n\to \infty } .
(c) What vector does y n {\displaystyle \mathbf {y} _{n}} converge to?
by choosing x0 at random, and then settings
![{\displaystyle \mathbf {x} _{\infty }=[1/2,1/2,1/2,1/2]^{T}}](https://wiki.ubc.ca/api/rest_v1/media/math/render/svg/90ea62d15d7dbb1fd046ef3f1121e2878c37b1ea)
.
converge to?
