I am having trouble justifying the following: Explain why the column vectors of a 3 x 4 matrix form a linearly dependent set (assuming all matrix entries are distinct) Any help would be appreciated, Thanks
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$\displaystyle If~A\in R^{3\times 4}\rightarrow rank(A)\leq 3\rightarrow $There are at most three independent vectors in columns, so there must be dependent of 4 columns
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