Chapter 11: Canonical Forms

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11.1 Block Triangular Form

Theorem 11.1.1: Block Triangulation Theorem

Definition 11.1 Generalized Eigenspaces

Lemma 11.1.1

Lemma 11.1.2

Lemma 11.1.3

Triangulation Algorithm

Example 11.1.1

Example 11.1.2

Theorem 11.1.2: Cayley-Hamilton Theorem

Example 11.1.3

Proof of Theorem 11.1.1

Lemma 11.1.4

Exercises for 11.1

11.2 The Jordan Canonical Form

Theorem 11.2.1

Definition 11.2 Jordan Blocks

Lemma 11.2.1

Theorem 11.2.2: Real Jordan Canonical Form

Corollary 11.2.1

Theorem 11.2.3: Jordan Canonical Form2

Proof of Lemma 1

Lemma 11.2.1

Exercises for 11.2