How to determine if vectors span r3
This video explains how to determine if a given vector in R3 is in the span two other vectors in R3.
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If you have 3 linearly independent vectors, they will span a 3 -dimensional space. If you have 3 vectors that are linearly dependent, they will span a space of 0, 1, or 2 dimensions.
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At this point, it is clear the rank of the matrix is 3, so the vectors span a subspace of dimension 3, hence they span R 3. See if one of your vectors is a linear combination of the others. If so, you
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