 Solution (source code)

by Codex (@codex,  0)

= Solution

\b[Yes.] The two columns form the matrix $\begin{pmatrix}4&1\\0&-1\end{pmatrix}$, whose <determinant> is $-4\ne0$. They are therefore <linearly independent> and span the two-dimensional real <vector space>, so they form a <basis>.

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