MAT 22A Summer Session I 2020



Syllabus


Lecture Notes

  1. Introduction to Vectors
  2. Matrices and Linear Systems
  3. Elimination and Matrix Operations
  4. Inverse Matrices and LU Decomposition
  5. LDU Decomposition and Transposes
  6. Vector Spaces and Nullspaces
  7. The Complete Solution
  8. Independence, Basis, and Dimension
  9. Four Fundamental Subspaces and Linear Transformations
  10. Orthogonality of the Four Fundamental Subspaces
  11. Projections and Least Squares
  12. Polynomial Interpolation Orthogonal Bases and Gram-Schmidt
  13. Determinants
  14. Eigenvalues, Eigenvectors, and Diagonalization
  15. Diagonalization, Symmetic Matrices, and Positive Definite Matrices
  16. Final Exam Review Session

Lecture Recordings


Problem Sets


Exams