Prove or give a counterexample to the following statement: If 𝐯1, …, 𝐯k are elements of a vector

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Step 1:u000AUnderstand the statement: We need to prove or disprove that if a set of vectors $u005Cmathbf

Prove or give a counterexample to the following statement: If $\mathbf{v}_1, \ldots, \mathbf{v}_k$ are elements of a vector space $V$ that do not span $V$, then $\mathbf{v}_1, \ldots, \mathbf{v}_k$ are linearly independent.