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Suppose you have 5 vectors in R7, and none are the zero vector, and every vector is different. You create a matrix where each column
Suppose you have 5 vectors in R7, and none are the zero vector, and every vector is different. You create a matrix where each column is one of those vectors. Treating this matrix as the standard matrix of a linear transformation, is the transformation sometimes, always, or never one-to-one
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