Ausgangsposition

Abbilden

Neue Ausgangsposition

L: -25
O: 25
R: 25
U: -25
aBild: 8
A: (-8, -8)
B: (8, -8)
C: (8, 8)
D: (-8, 8)
RahmenBild1, aSeite, bSeite, cSeite, dSeite = Polygon(A, B, C, D)
a = 1 (slider from -2 to 2)
b = 0 (slider from -2 to 2)
c = 0 (slider from -2 to 2)
d = 1 (slider from -2 to 2)
M: {{a, b}, {c, d}}
E = (-11.394028571428569, 8)
v1 = 0 (slider from -8 to 8, step 0.1)
v2 = 0 (slider from -8 to 8, step 0.1)
v: (v1, v2)
a0: 1
b0: 0
c0: 0
d0: 1
aD: abs(a - a0) / 10
bD: abs(b - b0) / 10
cD: abs(c - c0) / 10
dD: abs(d - d0) / 10
aMin = Min(a, a0)
bMin = Min(b, b0)
cMin = Min(c, c0)
dMin = Min(d, d0)
v10: 0
v20: 0
aMax = Max(a, a0)
bMax = Max(b, b0)
cMax = Max(c, c0)
dMax = Max(d, d0)
h = 0 (slider from 0 to 10.1, step 0.1)
aM = If(a0 ≤ a, aMin + (h * aD), aMax - (h * aD))
bM = If(b0 ≤ b, bMin + (h * bD), bMax - (h * bD))
cM = If(c0 ≤ c, cMin + (h * cD), cMax - (h * cD))
dM = If(d0 ≤ d, dMin + (h * dD), dMax - (h * dD))
MA: {{aM, bM}, {cM, dM}}
A' = (-8, -8)
B' = (8, -8)
C' = (8, 8)
D' = (-8, 8)
RahmenBild2, a', b', c', d' = Polygon(A', B', C', D')
v1Min = Min(v10, v1)
v1Max = Max(v10, v1)
v2Min = Min(v20, v2)
v2Max = Max(v20, v2)
v1D: abs(v1 - v10) / 10
v2D: abs(v2 - v20) / 10
v1M = If(v10 ≤ v1, v1Min + (h * v1D), v1Max - (h * v1D))
v2M = If(v20 ≤ v2, v2Min + (h * v2D), v2Max - (h * v2D))
vM: (v1M, v2M)
Text1: "\begin{pmatrix} x_1' \\ x_2' \end{pmatrix} 
=
\begin{pmatrix} " + (LaTeX[a]) + " & " + (LaTeX[b]) + "\\ " + (LaTeX[c]) + " & " + (LaTeX[d]) + " \end{pmatrix} 
\cdot
\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}"