Consider the following 2 sets of vectors in R^4: A = {v1, v2, v3}, B = {w1, w2, v3}. You are given that A is a set of linearly independent vectors and that B is a set of linearly independent vectors.

The intersection of 2 sets is the set of elements that are common to both sets. Suppose u is in the intersection of span A and span B. Determine a system of equations that could be used to determine all such u

Consider the matrix

A =

[ -2 -1 ]

[9/5 4/5]

Compute A^10, A^20, A^30, A^40, and A^50 and based on the answers, determine lim of A^k as k approaches infinity (k -> infinity).

How do I solve this using  Maple?

Thank you