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Let $\mathbb{C} ^{2} $ a complex vector space over $\mathbb{C} $ . Find a complex subspace unidimensional $M$ $\subset \mathbb{C} ^{2} $ such that $\mathbb{C} ^{2} \cap M =\left \{ 0 \right \} $  

 
Linear Algebra
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  • Daniel90 Daniel90

    The offered bounty is too low for the level of your question.

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If $M \subset \mathbb{C}^2$ then $M \cap \mathbb{C}^2 = M$, so $M = \{0\}$. But $M$ is one-dimensional, contradiction.

If you made a typo, I'll be happy to update this answer.

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  • Homeomorfo Fle Homeomorfo Fle

    Yeah!, Green. You are right, the question is wrong.

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