Linear Algebra: Free PDF

Linear Algebra

Linear Algebra, by David Cherney, Tom Denton, and Andrew Waldron, is a free linear algebra textbook available in pdf format.

Description

This textbook is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors. Our goal in writing it was to produce students who can perform computations with linear systems and also understand the concepts behind these computations.

Table of Contents

  • What is Linear Algebra?
  • Systems of Linear Equations
  • The Simplex Method
  • Vectors in Space, n-Vectors
  • Vector Spaces
  • Linear Transformations
  • Matrices
  • Determinants
  • Subspaces and Spanning Sets
  • Linear Independence
  • Basis and Dimension
  • Eigenvalues and Eigenvectors
  • Diagonalization
  • Orthonormal Bases and Complements
  • Diagonalizing Symmetric Matrices
  • Kernel, Range, Nullity, Rank
  • Least squares and Singular Values

Book Details

Author(s): David Cherney, Tom Denton and Andrew Waldron.
Publisher: –
Format(s): PDF
File size: 4.09 MB
Number of pages: 410
Link: Linear Algebra [PDF]







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