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Linear Algebra Repository 📚

Welcome to the Linear Algebra repository! This collection of Python scripts and exercises is designed to help you explore and master various linear algebra concepts.

📁 Directory Structure

Linear_Algebra/

• Theoretical Notes: Explanations and concepts of linear algebra.

chapter_01/

• Scripts:
  • dims_check.py 🧮: Checks dimensions of matrices and vectors.
  • matrix_def.py 📐: Definitions and examples of matrices.
  • sum_calc.py ➕: Calculates sums involving matrices and vectors.

chapter_02/

• Scripts:
  • array_init.py 🆙: Initialization and basic operations with arrays.
  • gauss.py 🔍: Implements Gaussian elimination to solve linear systems.

chapter_03/

• Scripts:
  • matrix_ops.py 🔢: Performs various matrix operations such as addition and multiplication.
  • vector_matrix.py 📊: Operations involving vectors and matrices.

chapter_04/

• Scripts:
  • matrix_inverse.py 🔄: Calculates matrix inverses using different methods.
  • matrix_lu.py 🔢: Implements LU decomposition for solving systems of equations.

chapter_05/

• Scripts:
  • adjoint.py 🔃: Computes the adjoint (adjugate) matrix.
  • determinant.py 🔢: Calculates determinants of matrices.

chapter_06/

• Scripts:
  • point_to_plane.py 📍: Calculates the distance from a point to a plane.
  • projection.py 📐: Computes orthogonal projections of vectors.
  • vector_sum.py ➕: Handles vector sum operations.
  • volume_calc.py 📏: Calculates the volume of a parallelepiped defined by vectors.

chapter_07/

• Scripts:
  • matrix_rank.py 📊: Computes the rank of matrices.

🚀 Getting Started

1. Clone the Repository

   git clone https://github.com/umyunsang/Linear-Algebra.git

2. Navigate to a Chapter Directory

   cd Linear-Algebra/chapter_01

3. Run a Script

   python dims_check.py

🤝 Contributing

Contributions are welcome! If you have ideas for improvements or new examples, feel free to create a pull request.

📜 License

This repository is licensed under the MIT License. See the LICENSE file for details.

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For more information and detailed notes, please check the files in the Linear_Algebra/ directory.

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