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Linear-Algebra

Overview

This repository is dedicated to exploring various concepts of Linear Algebra using Numpy in Python, illustrated through Jupyter Notebooks.

Detailed File Descriptions

  1. 01. Introduction.ipynb: Introduction to basic linear algebra concepts.
  2. 02. Index, Slice, Reshape Numpy array.ipynb: Demonstrates array manipulation techniques in Numpy.
  3. 03. Broadcasting in Numpy.ipynb: Explains broadcasting in Numpy for array operations.
  4. 04. Vectors in Numpy.ipynb: Covers vector operations in Numpy.
  5. 05. Vector Norm.ipynb: Discusses the concept and calculation of vector norms.
  6. 06. Matrices and Matrix Arithmetic.ipynb: Basics of matrix operations in Numpy.
  7. 07. Types of Matrices.ipynb: Differentiates various types of matrices.
  8. 08. Matrix Operation.ipynb: Advanced matrix operations and techniques.
  9. 09. Sparse Matrices.ipynb: Handling sparse matrices in Numpy.
  10. 10. Tensors and Tensor Arithmetic.ipynb: Introduction to tensors and their operations.
  11. 11. Matrix Decomposition.ipynb: Methods of matrix decomposition.
  12. 12. Eigen Decomposition.ipynb: Exploring eigenvalues and eigenvectors.
  13. 13. Singular Value Decomposition.ipynb: Implementation of singular value decomposition.
  14. 14. PseudoInverse.ipynb: Understanding and calculating the pseudoinverse of matrices.
  15. 15. Dimensionality Reduction using SVD.ipynb: Using singular value decomposition for reducing dimensions.
  16. 16. Multivariate Statistics.ipynb: Principles of multivariate statistics.
  17. 17. Covariance.ipynb: Techniques for calculating covariance.

License

This project is licensed under the MIT License.

Acknowledgements

Thanks to all contributors and the mathematics community.

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Linear Algebra with Numpy

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