1. Math
  2. Advanced Math
  3. for a 2 times 2 matrix a suppose that av1...

Question: for a 2 times 2 matrix a suppose that av1...

Question details

2. For a 2x2 matrix A, suppose that Avi Arvi and Ava Aava. Define D P lv val. (a Show that PD- AP, and that det (A)- det(D) Auxa. Note: If vi and va are linearly independent, then P is invertible, and from PD AP, it follows multiply by P-1) that Am PDP-1. This relation can be used to find large powers of A quickly. For example, POD )P-1 0
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution