[All Steps] Bases. Consider R^n and let e_l be the l^text th Euclidean vector, i.e. the vector of all zeros except the l^text th element which is one. Show


Question: Bases. Consider \(\mathbb{R}^{n}\) and let \(e_{l}\) be the \(l^{\text {th }}\) Euclidean vector, i.e. the vector of all zeros except the \(l^{\text {th }}\) element which is one. Show that the span of \(\left\{e_{l}\right\}_{l=1}^{n}\) is \(\mathbb{R}^{n}\)

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