Linear Combinations and Span
u1 = ( )
u2 = ( )
v = ( )
first component second component
Keys: on the board, press 1 or 2 to pick a tip, or V to pick the target. Press [ or ] to step through the tips. Press an arrow key to move the picked tip one snap step. Hold Shift with an arrow key to move it five snap steps.

Scalars

Hand solution

Matrix equation

R


      

      

    


    


    

      
Board

      

        Snap step
        

          
        

      

      

        
        
      

      
On each line of the combination grid, x1 or x2 is a whole number. The crossings are the combinations with whole-number scalars.

    


    

      

        
      

      Size