Mathematik-Online problems: Problem 574: Singular Value Decomposition and Approximation Problem

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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

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 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