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PRO/VS-02004

Do the vectors  \((1,1,1,-1),(1,1,-1,1),(1,-1,1,1),(-1,1,1,1)\) 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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4727:Diamond Point

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