ComplexevlakReIm

Roteren en vergroten:
Lineaire afbeelding gedefinieerd door de matrix

e_y = (0, 1)
O = (0, 0)
e_x = (1, 0)
α = 1.5669999999999993 (slider from -6.283 to 6.283, step 0.157)
c = 1 (slider from -5 to 5, step 0.1)
Z_1: e_x - e_y
v = Vector(O, Z_1)
Z_2 = (0.5, 1)
Z_3: c (cos(α) x(v) - sin(α) y(v), cos(α) y(v) + sin(α) x(v))
u = Vector(O, Z_3)
text2: "\bar v =\left( \begin{array}{c}" + (x(Z_1)) + "\\ " + (y(Z_1)) + " \end{array} \right)"
text5: "A =  c \left( \begin{array}{cc} cos(\alpha)  & -sin(\alpha) \\ sin(\alpha) & cos(\alpha) \end{array} \right) =\left( \begin{array}{cc} " + (c cos(α)) + " & " + (-c sin(α)) + " \\  " + (c sin(α)) + "& " + (c cos(α)) + "  \end{array} \right)"
text6: "\bar u= A \bar v =\left( \begin{array}{cc} " + (c cos(α)) + " & " + (-c sin(α)) + " \\  " + (c sin(α)) + "& " + (c cos(α)) + "  \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)"