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Find the Basis of the Rowspace, Rank & Nullity of Matrix : Answer Check

  1. Sep 9, 2012 #1
    Hey Guys!
    I was wondering if you could help me check over an answer and working out for a question.

    The question is:
    Find a basis for the row space of the matrix
     1 −2 0 1 
     2 1 5 −3 
     0 1 3 5 
     3 −1 5 −2 
    Then find the rank and the nullity of the matrix.

    My answer is:
    The basis of the row space is {(1,-2,0,1),(0,1,3,5),(0,0,-10,30)}.
    The rank is 3 and the nullity is 1.

    My working out is here: http://postimage.org/image/ju0mxxp95/ [Broken]

    Could you have a look at it and shed light on where I may have gone wrong/my method if the answer/working out is wrong?
    Thankyou!
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
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