2021-1 Linear Algebra

In this course, we will be learning some basics of Linear Algebra with its application to applied engineering. Instead of proving theorems from axioms and definitions, which I will partially do, the main concern of this lecture is to get the students familiar with the concepts of a vector space.

Syllabus

Week 1 (3/2) - Introduction
Week 2 (3/9) - Linear equations
Week 3 (3/16) - LU decomposition
Week 4 (3/23) - The inverse of a matrix
Week 5 (3/30) - Vector space
Week 6 (4/6) - Solving linear equation
Week 7 (4/13) - Subspace
Week 8 (4/20) - Mid-term
Week 9 (4/27) - Linear transformation
Week 10 - Orthogonal vectors
Week 11 - Least squares
Week 12 - Gram-Schmidt (QR decomposition)
Week 13 - Determinants
Week 14 - Eigenvectors and eigenvalues
Week 15- Cholesky decomposition
Week 16 - Final-term

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