Author: GG

B = (1, 0)
A_{22} = -0.09999999999999964 (slider from -5 to 5, step 0.1)
Orig = Intersect(xAxis, yAxis)
c = Circle(Orig, B)
V_1 = Point(c)
V_2: (-y(V_1), x(V_1))
A_{11} = 2.2 (slider from -5 to 5, step 0.1)
A_{12} = 0.8000000000000007 (slider from -5 to 5, step 0.1)
A_{21} = 3 (slider from -5 to 5, step 0.1)
AV_2: (A_{11} x(V_2) + A_{12} y(V_2), A_{21} x(V_2) + A_{22} y(V_2))
AV_1: (A_{11} x(V_1) + A_{12} y(V_1), A_{21} x(V_1) + A_{22} y(V_1))
S: (sqrt(x(AV_1)^(2) + y(AV_1)^(2)), sqrt(x(AV_2)^(2) + y(AV_2)^(2)))
C: ((sgn(x(S) - y(S)) + 1) / 2, -2)
SS: (x(C) x(S) + (1 - x(C)) y(S), (1 - x(C)) x(S) + x(C) y(S))
U1: (x(C) x(AV_1) / x(SS) + (1 - x(C)) x(AV_2) / x(SS), x(C) y(AV_1) / x(SS) + (1 - x(C)) y(AV_2) / x(SS))
U2: (-y(U1), x(U1))
MatrixA: "A=\left[\begin{array}{cc}" + A_{11} + "&" + A_{12} + "\\" + A_{21} + "&" + A_{22} + "\end{array}\right]"
v1 = Vector(Orig, V_1)
v2 = Vector(Orig, V_2)
v = Vector(Orig, AV_1)
u = Vector(Orig, AV_2)
VV1: (x(C) x(V_1) + (1 - x(C)) x(V_2), x(C) y(V_1) + (1 - x(C)) y(V_2))
VV2: (-y(VV1), x(VV1))
text2: "U=\left[\begin{array}{cc}" + (x(U1)) + "&" + (x(U2)) + "\\" + (y(U1)) + "&" + (y(U2)) + "\end{array}\right]\quad S=\left[\begin{array}{cc}" + (Max[x(S), y(S)]) + "&0\\0&" + (Min[x(S), y(S)]) + "\end{array}\right]   \quad V=\left[\begin{array}{cc}" + (x(VV1)) + "&" + (x(VV2)) + "\\" + (y(VV1)) + "&" + (y(VV2)) + "\end{array}\right]"
text1: "U=\left[\begin{array}{cc}" + (x(U1)) + "&" + (x(U2)) + "\\" + (y(U1)) + "&" + (y(U2)) + "\end{array}\right] \quad S=\left[\begin{array}{cc}" + (Max[x(S), y(S)]) + "&0\\0&" + (Min[x(S), y(S)]) + "\end{array}\right]\quad V=\left[\begin{array}{cc}" + (x(VV1)) + "&" + (x(VV2)) + "\\" + (y(VV1)) + "&" + (y(VV2)) + "\end{array}\right]"
CC: (sgn(0.02 x(S) y(S) - abs(x(AV_1) x(AV_2) + y(AV_1) y(AV_2))) + sgn(0.02 - y(SS)), -1)
F: ((A_{11}^(2) + A_{12}^(2) + A_{21}^(2) + A_{22}^(2)) / 2, (A_{11} A_{22} - A_{12} A_{21})^(2))
L: (x(F) + sqrt(x(F)^(2) - y(F)), x(F) - sqrt(x(F)^(2) - y(F)))
AX: (A_{11}^(2) + A_{12}^(2) - y(L), A_{11} A_{21} + A_{12} A_{22})
AXX: (x(AX) / sqrt(x(AX)^(2) + y(AX)^(2)), y(AX) / sqrt(x(AX)^(2) + y(AX)^(2)))
d = Ellipse((x(AXX) sqrt(x(L) - y(L)), y(AXX) sqrt(x(L) - y(L))), (-x(AXX) sqrt(x(L) - y(L)), -y(AXX) sqrt(x(L) - y(L))), sqrt(x(L)))