Applet Topics

Applet Topics

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• Exploring basic geometric operations of vectors in R² and R³
  
  
  
• Illustrating geometric approaches to the proof of key properties
  
  
  
• Geometric illustration of linear combinations and coordinates
  
  
  
• Linear systems of equations
  
  
  
• Spanning spaces in R² and R³
  
  
  
• Spanning subspaces in R² and R³
  
  
  
• Row, column, and null subspaces
  
  
  
• Linear transformations in R² and R³
  
  
  
• Geometric illustration of eigenvalues, eigenvectors, and eigenspaces
  
  
  
• Geometric application of determinants
  
  
  
• Orthogonal and orthonormal basis