Khan exercises Maths Tools 1
Let K:R2→R2K : \mathbb R^2 \to \mathbb R^2K:R2→R2 be the plane vector field with K(x,y)=(2x+5y−2x−3y). K(x,y) = \begin{pmatrix} 2 x + 5 y \\ -2 x - 3y \end{pmatrix}. K(x,y)=(2x+5y−2x−3y).
K:R2→R2K : \mathbb R^2 \to \mathbb R^2K:R2→R2
K(x,y)=(2x+5y−2x−3y). K(x,y) = \begin{pmatrix} 2 x + 5 y \\ -2 x - 3y \end{pmatrix}. K(x,y)=(2x+5y−2x−3y).
Move the given point (a,b)(a,b)(a,b) to the endpoint of K(a,b)K(a,b)K(a,b).
(a,b)(a,b)(a,b)
K(a,b)K(a,b)K(a,b)