Hi! Please help me with this problem which must be solved using eigenvalues and eigenvectors: A geometric sequence of vectors (2x1 row vectors) where to get from one term to the next multiply by a matrix (2x2): t =(R^(n-1))*a Where: t is the nth vector in the sequence R is the 2x2 matrix R= [a b] [c d] 1.Does t converge as n->infinity? What conditions are sufficient for the sequence to converge? What vector does tn converge in each case? 2.What is the formula for the sum of the first n vecotrs in this sequence? Under what conditions and to what vectors does it converge Thanks!