Linear Algebra Please answer fully and show all steps used s

Linear Algebra. Please answer fully and show all steps used so it\'s easy to follow. Will rate!

a) find x_1, x_2, and x_3

b) find a formula for x_k in terms of only k. Write you answer as a single vector.

c) find the limit of this vector sequence as k --> infinity. If there is a limit, write the vector that the sequence approaches. If there is no limit, say so.

7. The vector sequence (ak) is defined by the equation for k = 1,2,3, and the matrix A and starting vector o are given below 0.8 0.2] 0.4 0.6 (a) (3 pts) Find i, i2, and ts. ,-[ ]],-I (b) (6 pts) Find a formula for žr in terms of only k. Write your answer as a single vector SPECIAL HELP . The eigenvalues of A are 1 = 1 and ,-0.4. ·Two corresponding eigenvectors that you can use are Two corresponding eigenvectors that you can use are ui 1and u2 and u , respectively. ,- k = (c) (1 pt) Find the limit of this vector sequence as k oo. If there is a limit, write the vector that the sequence approaches. If there is no limit, say so Find lim

Solution