Mathematik-Online problems: Problem 573: Singular Value Decomposition and Approximation Problem

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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