ComplexevlakReIm
Author: John Val

Spiegelen: Matrices A,B,C voor spiegelen in oorsprong (A),
x-as(B) en y-as(C).

\bar u

\bar w

\bar z

e_y = (0, 1)
O = (0, 0)
e_x = (1, 0)
v_x = 1 (slider from -5 to 5, step 0.1)
v_y = 1 (slider from -5 to 5, step 0.1)
Z_1: (v_x * e_x) + (v_y * e_y)
v = Vector(O, Z_1)
Z_2 = (0.5, 1)
Z_3: ((-1 * x(v)), (-1 * y(v)))
u = Vector(O, Z_3)
text2: "\bar v =\left( \begin{array}{c}" + (x(Z_1)) + "\\ " + (y(Z_1)) + " \end{array} \right)"
w: (e_x * x(v)) - (e_y * y(v))
Z_w: w
z: (y(v) * e_y) - (e_x * x(v))
Z_z: z
text5: "A = " + (LaTeX[TableText[{{-1, 0}, {0, -1}}, "v()"]]) + ""
text1: "B = " + (LaTeX[TableText[{{1, 0}, {0, -1}}, "v()"]]) + ""
text3: "C = " + (LaTeX[TableText[{{-1, 0}, {0, 1}}, "v()"]]) + ""
text11: "\bar z= C \bar v = " + (LaTeX[TableText[{{-1, 0}, {0, 1}}, "v()"]]) + "" + (LaTeX[v]) + "=" + (LaTeX[Vector[Z_z]]) + ""
text9: "\bar w= B \bar v = " + (LaTeX[TableText[{{1, 0}, {0, -1}}, "v()"]]) + "  " + (LaTeX[v]) + " =" + (LaTeX[Vector[Z_w]]) + ""
text6: "\bar u= A \bar v = " + (LaTeX[TableText[{{-1, 0}, {0, -1}}, "v()"]]) + " " + (LaTeX[v]) + " =" + (LaTeX[Vector[Z_3]]) + ""