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Math Help - [SOLVED] row coloum space

  1. #1
    mrheyhey07
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    [SOLVED] row coloum space

    Hey guys, just found this nice site and was wondering if someone can help me out? I need this done an there'll be a similar question on my exam tomorrow. I'm stuck on this question,


    I don;t know the method. I think I gotta break it down a bit first but I'm not sure. Any takers?

    Thx in advance.

    mrheyhey07
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  2. #2
    Eater of Worlds
    galactus's Avatar
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    Reduce your matrix to row-echelon form. The row vectors with the leading 1's form a basis for the row space of R and the columns with the leading 1's of the row vextors form a basis for the column space of R.

    The rank is the dimension of the row and column space. They should be the same.

    For ref, I get:

    \begin{bmatrix}1&-1&2\\0&1&2\\0&0&0\\0&0&0\end{bmatrix}
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