Question: sidebar interaction. Press tab to begin. Read very carefully the remark at the top of the slide. The remark states that if dim(V) =n, then
sidebar interaction. Press tab to begin. Read very carefully the remark at the top of the slide. The remark states that if \dim(V) =n, then any set of n linearly independent vectors is a spanning set Any spanning set made up of n vectors must be linearly independent Thus checking one of the two properties 1. or 2. is sufficient to determine whether a set of n vectors forms a basis of V. Answer the following question: True/False: if \dim(V) =n, and V = \text{span}\left\( \mathbf{v}_1, \mathbf{v}_2, \ldots, \mathbf{v}_n ight\), then \left\{ \mathbf{v}_1, \mathbf{v}_2, \ldots, \mathbf{v}_n ight\} is a basis for V
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