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Matrix Methods
Intermediate
Online
3 Weeks
Free 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 2436 | yes | Coursera |
The Syllabus
Videos
- Matrix: Tabular Data
- Matrix Multiplication
- Supplement: Matrices in Python/Numpy
Readings
- Vector and Matrix operations
- Matrix Multiplication
Practice Exercise
- Matrix Combinations
- Matrix
- Linear combinations
Videos
- Matrix as Mathematical Objects
- Matrix Transpose
- Supplement: Matrix Transpose in Python
Readings
- Matrix Arithmetic
- Matrix Transpose
Practice Exercise
- Matrix Multiplication and Other Operations
- Matrix Operations
- Matrix Transpose
Videos
- Systems of Linear Equations
- Solution of Linear Equations via Elimination
- LU Decomposition: Matrix is a Product of Simple Matrices
- Supplement: Solve Linear Equations in Python
Readings
- Systems of Linear Equations
- Gaussian Elimination Algorithm
- LU Decomposition
Practice Exercise
- Systems of linear equations
- Systems of Linear Equations
- Solution of Linear Equations via Elimination
- LU Decomposition
Videos
- Orthogonality and Inner Product.
- Linear Least Squares: Best Approximation
- Least Distance -> Orthogonality -> Normal Equations
- Example: Approximate Curve Fitting
Readings
- Orthogonality and the Inner Product
- Linear Least Squares
Practice Exercise
- Linear Least Squares
- Orthogonality and Inner Product
- Linear Least Squares
- Normal equations
- Approximate Curve Fitting
Readings
- S V D
- Latent Semantic Indexing
Practice Exercise
- SVD as a Decomposition
- SVD as a Data Analytics Tool
- Singular Value Decomposition