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CodeSignal

Eigenvalues, Eigenvectors, and Diagonalization with NumPy

via CodeSignal

Overview

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.

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

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