Advanced Search

Question: How do I find a condition for eigenvalues of a 50 by 50 matrix?

Question:How do I find a condition for eigenvalues of a 50 by 50 matrix?

z23 10 Maple 18
linear-algebra real eigenvalues tridiagonal
March 03 2015
2

So here is the issue: I have a 50 by 50 tridiagonal matrix. The entries in the first row, first column are -i*x and the last row last column is -i*x; these are along the main diagonal, where i is complex and x is a variable. Everything in between these two entries is 0. Above and below the main diagonal the entries are -1. My issue is that I have to find a conditon on x that makes the eigenvalues real. I am completely new to maple and have no programming experience.. Can someone show me how to this?
Please Wait...