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Mathematik-Online problems:

Problem 573: Singular Value Decomposition and Approximation Problem


A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Find the singular value decomposition of the matrix

\begin{displaymath}
\left(
\begin{array}{rr}
30 & 10\\
24 & -7\\
-12 & -34
\end{array}\right).
\end{displaymath}

Is the decomposition unique? Find the solution of the problems $ \min_x\vert Ax-b\vert$ and $ \min_{A^{\operatorname t}y=c}\vert y\vert$ for $ b=(1,2,0)^{\operatorname t}$ and $ c=(5,5)^{\operatorname t}$.

(Authors: Höllig/Höfert)

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  automatisch erstellt am 12.  3. 2018