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Leading ones

  1. Nov 19, 2006 #1
    Hey I am just wondering about this question... I have reduced it as much as I can and the second part of the question is asking about the rank of the matrix... which means the leading number of ones right?

    SO if I had this matrix 2 5 0
    0 2 1
    0 0 0

    Wat would be the leading ones and would the last row be classed as leading ones? If ya can just giv a brief explanation that would be great! I understand wat I meant to be finding just am a lil unsure of the concept!

    Would the rank be 2?
     
  2. jcsd
  3. Nov 19, 2006 #2
    the matrix was meant to be

    2 5 0
    0 2 1
    0 0 0

    sorry if it doesnt look right in the above post!
     
  4. Nov 19, 2006 #3
    If [tex] A = \begin{bmatrix}
    2 & 5 & 0 \\
    0 & 2 & 1 \\
    0 & 0 & 0 \\
    \end{bmatrix}[/tex]

    then the rank is 2. The rank is just the number of non-zero rows.
     
  5. Nov 19, 2006 #4
    ahhh thats easy! Thanks... also just wonderin if you had 2 rows that were identical then the rank would just be 1 right?
     
  6. Nov 19, 2006 #5
    yes, because they are not linearly independent
     
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