A common misconception is that if A has a strictly dominant eigenvalue, then, for any sufficiently large value of k, the vector Akx is approximately equal to an eigenvector of A. For the three matrices below, study what happens to Akx when x = (.5, .5), and try to draw general conclusions (for a 2 x 2 matrix).
a.

b.

c.

Transcribed Image Text:

2 9 5 2 0