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Can anyone help with finding the dependence relations on the rows? I know how to do it for the columns but a bit stumped with rows. I know it has something to do with a book-keeping matrix tho.

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If you transpose your matrix, you'll switch rows and columns. –  Michael Joyce Feb 22 '13 at 2:00
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The rows of a matrix are the columns of its transpose. So take the transpose and then do what you know how to do for the columns.

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