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Solved: In Exercises 13–20, find an invertible matrix P
Chapter 5, Problem 19E(choose chapter or problem)
QUESTION:
Problem 19E
In Exercises 13–20, find an invertible matrix P and a matrix C of the form
such that the given matrix has the form
Questions & Answers
QUESTION:
Problem 19E
In Exercises 13–20, find an invertible matrix P and a matrix C of the form
such that the given matrix has the form
ANSWER:
Solution 19E
Step 1
Consider the matrix.
The objective is to find an invertible matrix P and a matrix C such that
Let be a real matrix with a complex eigenvalue and an associated eigenvector in. Then,
, where and