Hello! Any help on this two part problem would be greatly appreciated. Thanks!
b)Let A be a matrix and x be a non-zero vector such that Ax=2x. Then we have that A^7 x= ax some value of a. What is a equal to?
a) Let A be a matrix, and let x and y be linearly independent vectors such that Ax=y, Ay=x=2y
Then we have that A^5 y= ax+by for some scalars. Find the ordered pair (a, b)
