the standard basis of zero vector space is
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A zero-dimensional vector space has only a single point, the zero vector. Consequently, the only basis of a zero-dimensional vector space is the empty set ∅ {displaystyle emptyset }. Therefore, there is a single equivalence class of ordered bases, namely, the class { ∅ } {displaystyle {emptyset }} whose sole member is the empty set.
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This same result holds for the standard basis { ê 1, ê 2,…, ê n} for every R n. Orthonormal bases. If B = { v 1, v 2, …, v n} is a basis for a vector space V
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