ComplexevlakReIm

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

A = \left( \begin{array}{cc} -1 & 0 \ 0 & -1 \end{array} \right) 

B = \left( \begin{array}{cc} 1 & 0 \ 0 & -1 \end{array} \right) 

C = \left( \begin{array}{cc} -1 & 0 \ 0 & 1 \end{array} \right) 

\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: (-x(v), -y(v))
u = Vector(O, Z_3)
text2: "\bar v =\left( \begin{array}{c}" + (x(Z_1)) + "\\ " + (y(Z_1)) + " \end{array} \right)"
text6: "\bar u= A \bar v = \left( \begin{array}{cc} -1 & 0 \\ 0 & -1  \end{array} \right) \left(\begin{array}{c} " + (x(v)) + " \\ " + (y(v)) + " \end{array}\right)=\left( \begin{array}{c}" + (x(Z_3)) + "\\ " + (y(Z_3)) + " \end{array} \right)"
w: e_x x(v) - e_y y(v)
Z_w: 1 w
text9: "\bar w= B \bar v = \left( \begin{array}{cc} 1 & 0 \\ 0 & -1  \end{array} \right) \left(\begin{array}{c} " + (x(v)) + " \\ " + (y(v)) + " \end{array}\right)=\left( \begin{array}{c}" + (x(Z_w)) + "\\ " + (y(Z_w)) + " \end{array} \right)"
z: y(v) e_y - e_x x(v)
Z_z: 1 z
text11: "\bar z= C \bar v = \left( \begin{array}{cc} -1 & 0 \\ 0 & 1  \end{array} \right) \left(\begin{array}{c} " + (x(v)) + " \\ " + (y(v)) + " \end{array}\right)=\left( \begin{array}{c}" + (x(Z_z)) + "\\ " + (y(Z_z)) + " \end{array} \right)"