top of page

Linear Algebra

Course Materials

Homework and Solutions

  • Homework by Chapter (book)

  • Some HW Solutions (book)​​

Chapter 1: System of linear Equations

  • Section 1.1 Introduction to linear Equations (notes)

  • Section 1.3 Gaussian Elimination (notes)

  • Section 1.3 Application of Linear systems (notes)​​​

Chapter 5: Eigen V and V

  • Section 5.1 Eigenvalues and Eigenvectors (notes)

  • Section 5.2 Diagonalization (nortes

Chapter 2: Matrices 

  • Section 2.1 Operations with Matrices (notes)

  • Section 2.2 Properties of Matrices (notes)

  • Section 2.3 The Inverse of Matrices (notes)

  • Section 2.4 Elementary Matrices (notes)

Chapter 6: Inner Product Spaces

  • Section 6.1 Length and Dot Product (notes)

  • Section 6.2 Inner Product Spaces (notes)

  • Section 6.3 Orthonormal Basis (notes)

​Chapter 3: Determinants 

  • Section 3.1 Determinant (notes)

  • Section 3.2: Evaluation of Determinant (notes

  • Section 3.3: Properties of Determinants (notes

  • Section 3.4: Applications (notes

  • Section 3.5: Rank of a Matrix (notes)

Chapter 7: Linear Transformation

Section 7.1 Introduction and Definitions (notes)

Section 7.2 Properties (notes)

Chapter 4: Vector Spaces
  • Section 4.1 Vectors in n-spaces (notes)

  • Section 4.2 Vector Spaces (notes

  • Section 4.3 Subspaces of a Vector Space (notes

  • Section 4.4 Spanning and Independence (notes)

  • Section 4.5 Basis and Dimension (notes)

  • Section 4.6 Rank of a Matrix II (notes)

Chapter 8: Advance Material

  • Higher Linear Algebra  (notes)

Contact
Information

Department of Mathematics
University of Kansas

Office 502 Snow Hall

©2025 by Satya Mandal. Powered and secured by Wix

bottom of page