Solution Found!
Let A be a real 2 × 2 matrix with a complex eigenvalue and
Chapter 5, Problem 26E(choose chapter or problem)
QUESTION:
Let A be a real 2 × 2 matrix with a complex eigenvalue and an associated eigenvector v in C2. b. Verify that if P and C are given as in Theorem 9, then AP = PC.Reference Theorem 9:
Questions & Answers
QUESTION:
Let A be a real 2 × 2 matrix with a complex eigenvalue and an associated eigenvector v in C2. b. Verify that if P and C are given as in Theorem 9, then AP = PC.Reference Theorem 9:
ANSWER:Solution 26EStep 1 Consider is a real matrix with a complex eigenvalue and an associated eigenvector (a)The objective is to show that, The eigenvector v can be written as, Since is an eigenvector corresponding to the eigenvalue , so that,