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Definition of variables

\( x_{1}\): number of students in the correct lecture
\(x_{2}\): number of students in wrong lecture
\( x_{3}\): number of students in a pub
\(x_{4}\): number of students in bed
\(\vec{x}\) = ( \(x_1,x_2,x_3,x_4\)), the current student situation vector
standard basis vectors \(\vec e_1,\vec e_2,\vec e_3 \) and \(\vec e_4 \)
A is the transformation matrix
phi represents the function which is multiplicating a vector with A
the Eigenvectors \( \vec b_1,\vec b_2,\vec b_3 \) and \(\vec b_4\)
D is the diagonalized version of A
B is a basis of Eigenvectors
\(\vec{y}\) = \((y_1,y_2,y_3,y_4)\), the current student situation vector affected to B
MARTIN RAAB 2004-02-24