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I understand that the definition of a basis is a set of vectors that spans the vector space and is linearly independent. ... <看更多>

First, your 3rd row is linearly dependent with 1t and 2nd row. However, your 1st and 4th column are linearly dependent. ... <看更多>

The size of every finite linearly independent subset of a vector space is less than or equal to the size of every spanning set of that vector space. ... <看更多>