Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematik-Online problems:

Problem 541: 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}
\frac{1}{15}
\left(
\begin{array}{rr}
-10 & 33\\
-70 & 6\\
25 & 30
\end{array}\right)
\end{displaymath}

and use it to solve the approximation problem $ \min\limits_x\vert Ax-b\vert$ with $ b=(1,2,0)^{\operatorname t}$.

(Authors: Höllig/Höfert)

[Links]

  automatisch erstellt am 12.  3. 2018