Example $$ 2, f $$. The set consisting of only zero vector in a vector space $$ V $$ is a subspace of $$ V $$ That is, $$ V_{D}=\left\{0_{\psi}\right\} $$ is a subspace of $$ V $$, where $$ 0_{V} $$ is the zero vector in $$ V, V_{0} $$ is the smallest subspace of $$ V $$, called zero subspace of $$ V $$.

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Love Ortega · Accepted Answer

The set containing only the zero vector, $$ V_0 = \{ 0_V \} $$, is a subspace of $$ V $$ because it is non-empty, closed under addition, and closed under scalar multiplication. It is called the zero subspace of $$ V $$ and is the smallest subspace.

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