LECTURE 7. Eigenvalues and Eigenvectors.

CONTENTS

Definition 7.1:

Theorem 7.1:

Definition 7.2:

Theorem 7.2:

Definition 7.3:

Example 7.1:

Cauchy Schwarz inequality

An Angle between two vectors

Theorem 7.3:

Definition 7.5:

Example 7.2:

Definition 7.6:

Definition

Example 9.3:

Coordinates in an Orthonormal Basis

Theorem 7.5:

Example 7.3:

Definition 7.7:

Example 7.4:

Definition 7.8:

Eigenspace of a matrix

Example 7.5:

Definition 7.9:

Example 7.7:

Theorem 7.6:

Example 7.8:

Definition 7.10:

LECTURE 7. Eigenvalues and Eigenvectors.

CONTENTS

Definition 7.1:

Theorem 7.1:

Definition 7.2:

Theorem 7.2:

Definition 7.3:

Example 7.1:

Cauchy Schwarz inequality

An Angle between two vectors

Theorem 7.3:

Definition 7.5:

Example 7.2:

Definition 7.6:

Definition

Example 9.3:

Coordinates in an Orthonormal Basis

Theorem 7.5:

Example 7.3:

Definition 7.7:

Example 7.4:

Definition 7.8:

Eigenspace of a matrix

Example 7.5:

Definition 7.9:

Example 7.7:

Theorem 7.6:

Example 7.8:

Definition 7.10:

1.60M

Lecture 7-2025

1. LECTURE 7. Eigenvalues and Eigenvectors.

by A.R JANDIGULOV, 2025

2. CONTENTS

7.1. Inner Products.
7.2. Orthogonality.
7.3. Coordinates in an Orthonormal Basis
7.4. Eigenvalues and Eigenvectors
7.5. The Characteristic Polynomial of a Matrix
7.6. Eigenvalues and Similarity Transformations

3.

7.1. Inner Products.

4. Definition 7.1:

Let

English Русский Правила