Please enable JavaScript.

Coggle requires JavaScript to display documents.

Linear Algebra - Coggle Diagram

- - - - Columns must be linearly dependent
- - - - Similar directions
    - - Perpendicular
    - - Opposing directions
  - - - Project then scale
  - - - Called duality
- - - - Bigger
    - - Smaller
- - - - Use eigenvectors as basis
- - - - Move the second vector to the tip of the first one
    - - Scaling
      - Multiply by a number
      - Can flip the vector
- - - - Input Vector
      - Output vector
    - - Can be seen as functions
    - - "'Grid lines"' remain parallel and evenly spaced
  - - - Throw variables on the left
      - Lingering constants on the right
      - Vertically align variables
      - Add zeros as needed
      - Linear system of equations
        
        Coeficients
        
        Transformation
        
        Rank
        
        Number of dimensions in the output
        
        Set of all possible output Av
        
        ''Column space'' of A
        
        Span of columns
        
        ''Column space''
        
        Can squish things to a lower dimension
        
        Cases
        
        Probably 1 unique solution
        
        Single vector must map to multiple vectors
        
        Variables
        
        Constants