$\vec{p}$

EingabeMatrix

EingabeVektor

\alpha: \begin{pmatrix} x_1' \ x_2' \end{pmatrix} =

\cdot \begin{pmatrix} x_1 \ x_2 \end{pmatrix} +

\vec{x}'

\vec{u}

$\vec{x}$

\vec{p}

\vec{x}

\downarrow \alpha

Punkte der Gerade g

Pfeildarstellung

Hallihallohallihallohl

Bildpunkte

P: (0 | 2)
Q = (1, 2.5)
g = Line(P, Q)
E1 = (0, 0)
E2: (4 | 0)
E3: (4 | 4)
E4: (0 | 4)
Rahmen, e1, e2, e3, e4 = Polygon(E1, E2, E3, E4)
Eckpunkte: {E1, E2, E3, E4}
u = Vector(P, Q)
Seite = Sequence(P + (i * u / 100), i, 0, 100)
O: (0 | 0)
vecP = Vector(O, P)
t = 4 (slider from -20 to 20, step 0.01)
X: vecP + (t * u)
A: {{1, -1}, {0, 1}}
v: (2, 1)
X': (A * X) + v
f = Segment(X, X')
Eingabefeld1 = Textfield(A)
Eingabefeld2 = Textfield(v)
gL = -7
gR: 7
gU: -1
gO: 7
vecPX = Vector(P, X)
vecX = Vector(O, X)
t_{1}: abs(vecPX) / abs(u)
P': (A * P) + v
Q': (A * Q) + v
vecP' = Vector(O, P')
vecX' = Vector(O, X')
vecP'X' = Vector(P', X')
u' = Vector(P', Q')
a = true
b = true
c = true
g' = Line(P', Q')
Text7: "g: 
\underbrace{\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}}_{\vec{x}}  =  \underbrace{\begin{pmatrix} " + (LaTeX[x(P)]) + " \\ " + (LaTeX[y(P)]) + " \end{pmatrix}}_{\vec{p}}  +   \underbrace{" + (LaTeX[t_{1}]) + "}_{t} \cdot\underbrace{\begin{pmatrix} " + (LaTeX[x(u)]) + "  \\ " + (LaTeX[y(u)]) + "  \end{pmatrix}}_{\vec{u}}  = \begin{pmatrix}  " + (LaTeX[x(X)]) + "  \\ " + (LaTeX[y(X)]) + "   \end{pmatrix} \\"
Text8: "\alpha(g): \underbrace{\begin{pmatrix} x_1' \\ x_2' \end{pmatrix}}_{\vec{x'}} =
\begin{pmatrix}   " + (LaTeX[x(X')]) + "  \\ " + (LaTeX[y(X')]) + "    \end{pmatrix} "