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intro-to-linear-algebra's Introduction

Introduction to Linear Algebra

Syllabus

  • Week 1 : LaTex introduction
  • Week 2 : Introduction to Linear Systems
  • Week 3 : Existence and uniqueness of solution & matrix operation
  • Week 4 : Matrix multiplication & LU decomposition
  • Week 5 : Matrix inverse & Vector space
  • Week 6 : Subspace & Nullspace
  • Week 7 : Linear independence & Basis
  • Week 8 : Midterm
  • Week 9 : Bases of column and null spaces & linear transformation
  • Week 10 : Linear map & Orthogonality
  • Week 11 : Fundamental theorem of linear algebra
  • Week 12 : Orthogonal basis
  • Week 13 : Least squares & Normal Equation & Gram-Schmidt
  • Week 14 : QR decomposition & Eigenvalue decomposition
  • Week 15 : Singular value decomposition & PCA
  • Week 16 : Final exam
This syllabus is subject to further change or revision, as needed, to best realize the educational goals of the course.

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