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QUE/VS-02006
- Consider the vector space of all real numbers with field of all real numbers. Is the set \(\{1, \sqrt{2}\}\) linearly independent? Does it form a basis? Give an explanation of your answer.
- Let \(V\) be the vector space of all real numbers with the set \(Q\) as the field. Is the set \(\{1,\sqrt{2}\}\) linearly independent? Why? Does it form a basis?
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