Department of Mathematics
University of Kansas
Office: 502 Snow Hall
Phone: 785-864-5180
email: mandal@ku.edu

Satya Mandal

Linear Algebra (Math 290)

Lessons

I will continue to edit and up date the following lecture notes (and homework), from earlier semester:
  1. Section 1.1: Introduction to linear Equations
  2. Section 1.2: Gaussian Elimination
  3. Section 1.3: Application of Linear systems

  4. Section 2.1:Operations with Matrices
  5. Section 2.2: Properties of Matrices
  6. Section 2.3:The Inverse of Matrices
  7. Section 2.4:Elementary Matrices


  8. Section 3.1: Determinant
  9. Section 3.2: Evaluation of Determinant, with Elementary Operations
  10. Section 3.3: Properties of Determianants
  11. Section 3.4: Applications
  12. Section 3.5: Rank of a Matrix


  13. Section 4.1: Vectors in n-spaces
  14. Section 4.2: Vector Spaces
  15. Section 4.3: Subspaces of a Vector Space
  16. Section 4.4:Spanning and Independence
  17. Section 4.5: Basis and Dimension
  18. Section 4.6: Rank of a Matrix II


  19. Section 5.1:Eigenvalues and Eigenvectors
  20. Section 5.2: Diagonalization


  21. Section 6.1: Length and Dot Product
  22. Section 6.2: Inner Product Spaces
  23. Section 6.3: Orthonormal Basis


  24. Section 7.1:Linear Transformation: Definitions and Introduction
  25. Section 7.2:Properties of Linear Transformations


Homework