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Linear Algebra IV Orthogonality and Symmetric Matrices and the SVD
Intermediate
Online
3 Weeks
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Quick Facts
| Medium Of Instructions | Mode Of Learning | Mode Of Delivery |
|---|---|---|
| English | Self Study | Video and Text Based |
Courses and Certificate Fees
| Fees Informations | Certificate Availability | Certificate Providing Authority |
|---|---|---|
| INR 20905 | yes | Georgia Tech |
The Syllabus
- Course Information,
- Download Lecture Slides
- Module 1 Intro Video
- Topic 1: Inner Product, Length, and Orthogonality
- Topic 2: Orthogonal Sets
- Topic 3: Orthogonal Projections
- Module 1 Quiz
- Module 2 Intro Video
- Topic 1: The Gram-Schmidt Process
- Topic 2: The QR Factorization
- Module 2 Quiz
- Module 3 Intro Video
- Topic 1: Least-Squares Problems
- Topic 2: Applications to Linear Models
- Module 3 Quiz
- Module 4 Intro Video
- Topic 1: Diagonalization of Symmetric Matrices
- Topic 2: Quadratic Forms
- Topic 3: Constrained Optimization
- Module 4 Quiz
- Module 5 Intro Video
- Topic 1: The Singular Value Decomposition
- Topic 2: Applications of the SVD
- Module 5 Quiz
- Final Exam
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