Recent content by vince89

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    Graduate Problem on linear independence and matrices

    if there is a trivial solution, what does it imply? :) thanks btw.
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    Graduate Problem on linear independence and matrices

    how does the singular matrix change the linear independence of the basis?
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    Graduate Problem on linear independence and matrices

    hmm...i don't quite get it. can you write a rough proof. :) thanks a lot!
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    Graduate Problem on linear independence and matrices

    but doesn't the singular matrix change the property of linear independence?
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    Graduate Problem on linear independence and matrices

    the vectors are the same. and they're not bases, they're just sets of vectors
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    Graduate Problem on linear independence and matrices

    Can I ask for some help? Suppose that {v1,v2...vn} is a linearly independent set of vectors and A is a singular matrix. Prove or disprove: The set {Av1, Av2, ...Avn} is linearly independent.