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Chapter 2: Canonical forms

Shmuel Friedland, Mohsen Aliabadi

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Abstract

In this chapter, we will discuss two different canonical forms for similarity: the Jordan canonical form, which applies only when the base field is algebraically closed, and the rational canonical form, which applies in all cases.

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In this chapter, we will discuss two different canonical forms for similarity: the Jordan canonical form, which applies only when the base field is algebraically closed, and the rational canonical form, which applies in all cases.

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Available abstract

In this chapter, we will discuss two different canonical forms for similarity: the Jordan canonical form, which applies only when the base field is algebraically closed, and the rational canonical form, which applies in all cases.

Key concepts: Non canonical, Canonical form, Algebraically closed field, Mathematics, Similarity (geometry), Field (mathematics), Canonical coordinates, Base (topology)

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