# MATH202: Linear Algebra (Fall 2019)

## Topics Covered

Topics Covered

Solutions to linear systems of equations; fields, vector spaces, and subspaces; rank and nullity; the four fundamental subspaces; determinants and inverse matrices; applications of Gauß-Jordan elimination; change of basis; linear transformations; norms, Lp norms, and inner product; orthonormal basis and Gram-Schmidt, eigenvectors and eigenvalues, diagonalization; symmetric, orthogonal, Hermitian, and unitary matrices; spectral decomposition; orthogonal decomposition; singular value decomposition; generalized eigenvectors and Jordan normal form.

## Course Information

Course Information

**Instructor:**Karpur Shukla (karpur.shukla@flame.edu.in or kshukla@alumni.cmu.edu)**Course Times:**12 (noon) – 1:30 PM Mondays and Fridays; 11 AM – 12 (noon) Thursdays**Office Hours:**by appointment

## Course Texts:

Course Texts:

*Matrix Analysis and Applied Linear Algebra**Introduction to Linear Algebra (5th Edition)*

## Grading Structure

Grading Structure

- Weekly homework assignments: 50%
- Take-home exam: 20%
- Final exam: 30%

## Assignments

Assignments

- Homework Assignment 1
- Homework Assignment 2
- Homework Assignment 3
- Homework Assignment 4
- Homework Assignment 5
- Homework Assignment 6
- Homework Assignment 7
- Homework Assignment 8
- Homework Assignment 9
- Homework Assignment 10
- Homework Assignment 11
- Homework Assignment 12
- Homework Assignment 13
- Take-Home Exam
- Practice Final Exam

## Slides

Slides

- Slides Part 1
- Slides Part 2
- Slides Part 3
- Slides Part 4
- Slides Part 5
- Slides Part 6
- Slides Part 8
- Slides Part 9
- Slides Part 10
- Slides Part 11
- Slides Part 12