PRO/VS-02008
Consider the set of all vectors \(\xi=(\xi_1,\xi_2,\xi_3)\) in \(C^3\) for which
- \(\xi_1\) is real
- \(\xi=0\)
- \(|\xi_1|> 0\)
- either \(\xi_1\) or \(\xi_2\) equal to zero
- \(\xi_1+\xi_2=0\)
- \(\xi_1+\xi_2=1\)
Give the dimensions of the vector spaces, wherever appropriate and give a
possible basis
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4727:Diamond Point
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