Chapter 35 Summary of matrix forms
In each section of this chapter, \(A\) is assumed to be an \(n\times n\) matrix, and \(P\) is assumed to be an \(n\times n\) transition matrix so that \(\inv{P} A P\) is in the form being described.
Each section consists of four pieces of information about the form.
- What
- Describes the form.
- When
- Describes the properties of \(A\) necessary to be able to realize the form.
- How
- Describes what to use as the columns of \(P\) to actually realize the form.
- Result
- Describes how to compute the form \(\inv{P}AP\) without computing \(\inv{P}\text{.}\)