Purpose: To see what an eigenvector is in two dimensions.[br][br]The vector [b]u[/b] is being multiplied by the matrix shown, and the resulting vector is shown in red. Change the vector [b]u[/b] by dragging the tip to a different location.[br][br]See that multiplying by the matrix will change the [i]direction[/i] and [i]length[/i] of a vector.