Interactive Transformation

Drag and drop the green arrows so that the blue point falls on the red

Moves: 0 Timer: 0 seconds

How to Play

Think of the unit vectors (1,0), (0,1) as the basis for the standard xy plane

  1. Your goal is to drag and drop the green basis vectors (i' and j') to apply a transformation on the grid that maps blue on to red
  2. It may be a rotation, reflection, or scaling, or all three
  3. i' acts on the x component of blue and j' acts on the y component of blue, together they form a 2x2 matrix
  4. Click "Go" to see how the current orientation transforms the space
  5. Click solve to see the correct transormation (solution not unique)
  6. Try to make the light blue (image) vector land on the red point
How to play demonstration