Solved: In Exercises 13–20, find an invertible matrix P

Chapter 5, Problem 19E

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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

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