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)
text5: "A =  c" + (LaTeX[TableText[{{"cos(\alpha)", "sin(\alpha)"}, {"-sin(\alpha)", "cos(\alpha)"}}, "v()"]]) + " =" + (LaTeX[TableText[{{LaTeX[(c * cos(α))], LaTeX[(c * sin(α))]}, {LaTeX[((-c) * sin(α))], LaTeX[(c * cos(α))]}}, "v()"]]) + ""
text6: "\bar u= A \bar v =" + (LaTeX[(TableText[{{LaTeX[(c * cos(α))], LaTeX[(c * sin(α))]}, {LaTeX[((-c) * sin(α))], LaTeX[(c * cos(α))]}}, "v()"] * TableText[{{LaTeX[x(v)], LaTeX[y(v)]}}, "v()"])]) + "=" + (LaTeX[TableText[{{LaTeX[x(Z_3)], LaTeX[y(Z_3)]}}, "v()"]]) + ""
text2: "\bar v =" + (LaTeX[TableText[{{LaTeX[x(v)], LaTeX[y(v)]}}, "v()"]]) + ""