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Mathematik-Online problems:

Problem 43: Linear Maps

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Given the vectors

$\displaystyle u_0=(1, 2, 1)^{{\operatorname t}}, \ v_0=(-3, 2, 3)^{{\operatorna... ...,\ u_1=(-7, -6, -2)^{{\operatorname t}}, \ v_1=(1, -4, -4)^{{\operatorname t}} $

as far as the plane $ E: x_1-2x_2+2x_3=0$. Find the linear map $ \alpha : \mathbb{R}^3\longrightarrow \mathbb{R}^3$ that maps $ u_0$ onto $ u_1$, $ v_0$ onto $ v_1$, $ w_0$ onto a multiple of itself and $ E$ onto itself.
(Authors: Apprich/Höfert)

Solution:

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  automatisch erstellt am 14. 10. 2004