Exercises and Problems in Linear Algebra by John M Erdman in pdf

 Exercises and Problems in Linear Algebra by John M Erdman in pdf

this is the book Exercises and Problems in Linear Algebra in pdf written  by John M Erdman, published by world scientific, 2020  of professors of  science faculties  universities  .

   

Information about the book

Language of the book: English language

Book Title: Exercises and Problems in Linear Algebra

Scriptwriter: by John M Erdman

Year of printing:   world scientific, 2020

File Format:PDF

Number of chapters: 7 CHAPTER

Number of pages: 220 pages

File Size: 8,85 MB

Contents

Matrices and Linear Equations:

Arithmetic of Matrices

Elementary Matrices; Determinants

Vector Geometry in ℝⁿ

Vector Spaces:

Vector Spaces

Subspaces

Linear Independence

Basis for a Vector Space

Linear Maps Between Vector Spaces:

Linearity

Linear Maps Between Euclidean Spaces

Projection Operators

Spectral Theory of Vector Spaces:

Eigenvalues and Eigenvectors

Diagonalization of Matrices

Spectral Theorem for Vector Spaces

Some Applications of the Spectral Theorem

Every Operator is Diagonalizable Plus Nilpotent

The Geometry of Inner Product Spaces:

Complex Arithmetic

Real and Complex Inner Product Spaces

Orthonormal Sets of Vectors

Quadratic Forms

Optimization

Adjoint Operators:

Adjoints and Transposes

The Four Fundamental Subspaces

Orthogonal Projections

Least Squares Approximation

Spectral Theory of Inner Product Spaces:

Spectral Theorem for Real Inner Product Spaces

Spectral Theorem for Complex Inner Product Spaces

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