Question: Show that if {v1, v2,..., vr} is a linearly dependent set of vectors in a vector space V, and if vr+1,..., vn are any vectors

Show that if {v1, v2,..., vr} is a linearly dependent set of vectors in a vector space V, and if vr+1,..., vn are any vectors in V, then {v1, v2,..., vr, vr+1,..., vn} is also linearly dependent.

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