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Mathematik-Online problems:

Problem 574: 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

The singular value decomposition of a $ (4\times 2)$-matrix $ A$ leads to

$\displaystyle U=\frac{1}{2} \begin{pmatrix}-1 &1&1&1 \\
1 &-1&1&1 \\
1&1&-1...
...V^{\operatorname t}= \frac{1}{5}\begin{pmatrix}3 & -4 \\ 4 & 3 \end{pmatrix} .
$

a)
Find $ A$ and $ A^{\operatorname t}$.
b)
Solve the approximation problem for $ b=(0,0,0,2)^{\operatorname t}$.
(Authors: Höllig/Höfert)

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  automatisch erstellt am 12.  3. 2018