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Deepak singh 1 Best Answer
A set B is a basis of V if 1. its elements are linearly independent 2. every element of V is a linear combination of elements of B. Only this two conditions makes basis . Here , B={(a,b),(c,d)} , a,b,c,d€R can be made into basis if they satisfy above two conditions. And we can take many a,b,c,d . So , B is infinite . Thus , For any vector space , we can find infinite basis .