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Math 2 - Coggle Diagram

- - - - Examples: linear transformations, polynomial functions, athematic compositions etc.
- - - - x = Dx /D ; y = Dy/D ; z = Dz/D
    - - Each leading entry is in a column to the right of the leading entry of the previous row.
      - Reduced row echelon form
        
        The leading entry in the row should be the only non zero entry in its column
      - if i^(th) column has the leading entry of some row, we call xi a dependent variable or a basic variable otherwise we call it an independent variable or a free variable. .
    - - Is b a linear combination of columns of A?
        
        No
        
        No solution
        
        Yes
        
        There is always a solution
        
        Are the columns Independent?
        
        Yes
        
        Unique Solution
        
        No
        
        Infinite solutions
    - - Matrix is in the Form [0, ...., 0 | Non zero]
        
        Yes
        
        No solution exists
        
        No
        
        There is a solution
        
        Are there any free variables?
        
        No
        
        Unique solution
        
        Yes