This course introduces students to eigenvalues, eigenvectors, and matrix diagonalization. Focusing on matrix transformations, students will explore practical applications of these concepts using the `numpy.linalg` library to solidify their understanding of advanced linear algebra principles.
Overview
Syllabus
- Unit 1: Introduction to Eigenvalues and Eigenvectors with NumPy
- Eigenvalues and Eigenvectors in NumPy
- Explore Matrix Changes Impact
- Fix the Matrix Calculation Errors
- Calculate Eigenvalues and Eigenvectors
- Write Your First NumPy Matrix Code
- Unit 2: Diagonalization of Matrices with NumPy
- Matrix Diagonalization in Action
- Modify the Matrix for Diagonalization
- Fix the Python Matrix Code
- Unlock Matrix Diagonalization Skills
- Write Code for Matrix Diagonalization
- Unit 3: Power of a Matrix Using Eigen Decomposition
- Matrix Power with Eigen Decomposition
- Matrix Power Exploration Challenge
- Fix Matrix Power Calculation
- Matrix Power Calculation Challenge
- Mastering Matrix Powers with Python
- Unit 4: Singular Value Decomposition (SVD) with NumPy
- Singular Value Decomposition Practice
- Exploring SVD Through Matrix Change
- Fix the Singular Value Decomposition
- Fill in the Missing Code
- Mastering Singular Value Decomposition
- Unit 5: Solving Systems of Equations with NumPy
- Solve Linear Equations with NumPy
- Changing Coefficients in Equations
- Fixing Error with NumPy
- Solve Linear Equations with NumPy
- Mastering NumPy Equations from Scratch