Question

1. Given the following matrix A- 05 .97 a. calculate the eigenvalues by using RStudio. b. calculate the integer values of the eigenvectors, vi and v2 by hand only calculate the weights ci and c2, such that: c. given x d. Calculating the long-term behavior of a dynamic system: Remembering, in general Ax Ax fill in using ci and c2, the eigenvalues λ1 and λ2 and vectors vi and v2. e. What happens to the system as k -> oo

I got part a to be 1 and .92

Answer 1

9S 03 @ Eigenvateus ave l and 、qa ·05-,03

0. 6 0 .4 0.4 Co 40

a (.93 40 7 63S ‘as+(-.ao 0.418 그 . ( 42)" ( ) 37S 9044 675-19044 6544 434 s6 1 3 k 4b 40

14 . The system con ve¥ ges to I-8