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Nullity-Rank question

  1. Oct 17, 2012 #1
    Just a quick question I've been giving some thought to today. Suppose A is an mxn matrix with column vectors such that only one of them is a scalar transformation of another. What can we say about the relationship of m and n?
  2. jcsd
  3. Oct 17, 2012 #2
    No thoughts?
  4. Oct 17, 2012 #3


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    what is a "scalar transformation"? if it means scalar multiple, then i don't see right off how to say anything. if it means linear combination, in the sense that there are n-1 independent columns, then it say the column rank is n-1. since then the row rank must also be n-1, we know there are at least n-1 rows, so m ≥ n-1.

    your problem in receiving no answers is your unclear statement of the question.
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