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Mathematik-Online problems:

Problem 547: Linear Transormation of a Tetrahedron

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
a)
Find all linear transformations $ Q$ of the tetrahedron, spanned by the points

$\displaystyle ( 0 , 0 , 0 ) \, , \; ( 0 , 0 , 1 ) \, , \; ( 0 , 1 , 0 ) \, , \; ( 1 , 0 , 0 ) $

onto itself.

b)
Which transformations are orthogonal?

(Authors: Höllig/Höfert)

see also:

  automatisch erstellt am 12.  3. 2018