DLA Summary of matrix forms

Processing math: 100%

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Chapter 35 Summary of matrix forms

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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.

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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 $\inv{P}\text{.}$