ComplexevlakReIm

Schalen: Lineaire afbeelding gedefinieerd door de matrix

e_y = (0, 1)
O = (0, 0)
e_x = (1, 0)
a_{11} = 2 (slider from -5 to 5, step 0.1)
a_{22} = 0.5 (slider from -5 to 5, step 0.1)
Z_1: 1.0 * e_x + 2.0 * e_y
v = Vector(O, Z_1)
Z_2 = (0.5, 1)
Z_3: (a_{11} * x(v), a_{22} * y(v))
u = Vector(O, Z_3)
text2: "\bar v =\left( \begin{array}{c}" + (x(Z_1)) + "\\ " + (y(Z_1)) + " \end{array} \right)"
text5: "A = \left( \begin{array}{cc} a_{11}  & 0 \\ 0 & a_{22} \end{array} \right) =\left( \begin{array}{cc} " + a_{11} + " & 0 \\ 0 & " + a_{22} + "  \end{array} \right)"
text6: "\bar u= A \bar v = \left( \begin{array}{cc} " + a_{11} + " & 0 \\ 0 & " + a_{22} + "  \end{array} \right) \left(\begin{array}{c} " + (x(v)) + " \\ " + (y(v)) + " \end{array}\right)=\left( \begin{array}{c}" + (x(Z_3)) + "\\ " + (y(Z_3)) + " \end{array} \right)"