The matrix A is followed by a sequence {x_(k)} produced by the power method. Use these data to estimate the largest eigenvalue of A , and give a corresponding eigenvector.
A=[[1.8,-0.8],[-3.2,4.2]];[[1],[0]],[[-0.5625],[1]],[[-0.3021],[1]],[[-0.2601],[1]],[[-0.252],[1]]
An estimate for the dominant eigenvalue of A is \lambda ~~
(Type an integer or decimal rounded to four decimal places as needed.)