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Canonical matrix

  1. Mar 11, 2007 #1

    daniel_i_l

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    1. The problem statement, all variables and given/known data
    I have a question that doesn't relate to a specific problem:
    Can any matrix be reduced to a canonical matrix?

    2. Relevant equations

    the three elementry operations

    3. The attempt at a solution

    I think that the answer is yes and that the only way that a linear system has no answer is when the lowest non-zero row has the form of: (0,..,0,1)
    Is that right?
    Thanks.
     
  2. jcsd
  3. Mar 11, 2007 #2

    matt grime

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    What is a 'canonical' matrix? Jordan canonical form? Row echelon form? Reduced row echelon form?
     
  4. Mar 11, 2007 #3

    daniel_i_l

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    Reduced row echelon form.
     
  5. Mar 11, 2007 #4

    matt grime

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    Have you tried to put matrices in row ecehlon for using the operations? It's always worked, right. NOw, do you need to justify that, or is it just a yes/no question?
     
  6. Mar 13, 2007 #5

    daniel_i_l

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    This wasn't a homework question, i just was asking to see if i understood correctly, so it's a yes/no question.
     
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