ComplexevlakReIm

Lineaire afbeelding gedefinieerd door de matrix

v_y = 1 (slider from -5 to 5, step 0.1)
v_x = 1 (slider from -5 to 5, step 0.1)
e_x = (1, 0)
e_y = (0, 1)
a_{21} = 0 (slider from -5 to 5, step 0.1)
a_{12} = 0 (slider from -5 to 5, step 0.1)
a_{22} = -2 (slider from -5 to 5, step 0.1)
a_{11} = 1 (slider from -5 to 5, step 0.1)
O = (0, 0)
Z_v: (v_x * e_x) + (v_y * e_y)
v = Vector(O, Z_v)
Z_2 = (0.5, 1)
Z'_v: ((a_{11} * x(v)) + (a_{12} * y(v)), (a_{21} * x(v)) + (a_{22} * y(v)))
v' = Vector(O, Z'_v)
text5: "A = " + (LaTeX[TableText[{{"a_{11}", "a_{21}"}, {"a_{12}", "a_{22}"}}, "v()"]]) + "= " + (LaTeX[TableText[{{a_{11}, a_{21}}, {a_{12}, a_{22}}}, "v()"]]) + " "
text1: "\bar v = " + (LaTeX[TableText[{{"v_x", "v_y"}}, "v()"]]) + "= " + (LaTeX[TableText[{{v_x, v_y}}, "v()"]]) + " "
text6: "\bar{v}'= A \bar v = " + (LaTeX[TableText[{{a_{11}, a_{12}}, {a_{21}, a_{22}}}, "v()"]]) + "  " + (LaTeX[TableText[{{x(v), y(v)}}, "v()"]]) + "=" + (LaTeX[TableText[{{x(Z'_v), y(Z'_v)}}, "v()"]]) + ""
text2: "\bar v =" + (LaTeX[TableText[{{x(Z_v), y(Z_v)}}, "v()"]]) + ""