beispiel_kern

Matrix A

(%i1)

A : matrix ( [ 1 , 2 , 3 ] , [ 4 , 5 , 6 ] ) ;

\[\operatorname{(A) }\begin{pmatrix}1 & 2 & 3\\ 4 & 5 & 6\end{pmatrix}\]

Bild der Matrix A

(%i2)

columnspace ( A ) ;

\[\operatorname{ }\operatorname{span}\left( \begin{pmatrix}1\\ 4\end{pmatrix}\operatorname{,}\begin{pmatrix}2\\ 5\end{pmatrix}\right) \]

Kern der Matrix A

(%i3)

nullspace ( A ) ;

\[\operatorname{ }\operatorname{span}\left( \begin{pmatrix}-3\\ 6\\ -3\end{pmatrix}\right) \]

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