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PRO/VS-02005
Check if the vectors \((1,1,1,-1),(1,1,-1,1),(1,-1,1,1)\), in \(R^4\), are linearly independent. Do they form a basis in \(R^4\)? If your answer is 'YES' give a proof, if your answer is 'NO' give
an example of a vector which is not a linear combination of these vectors.
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