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Math Help - how to turn this into echelon matrix?

  1. #1
    Senior Member
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    how to turn this into echelon matrix?

    8 4 7 0 4
    4 2 2 6 5
    1 6 7 3 2 (mod 11)
    2 1 2 5 0

    i got answer:

    8 4 7 0 4
    0 0 4 6 3 is the matrix unchanged if multiplying
    0 0 2 3 7 a row by any integer?
    0 0 0 6 5
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  2. #2
    Super Member Matt Westwood's Avatar
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    The allowed rules are:

    1. Multiply any row (or column) by any non-zero number (so yes, you are right, you can do this).

    2. Add (or subtract) a constant non-zero multiple of one row (or column) to another row.

    3. Swap two rows over.

    I've never done it for a "modulo n" matrix myself, but it's okay, the modulus is prime, so the elements of the matrix are elements of a field.

    Not quite sure what order I'd do stuff but if you add row 1 to row 2 then your first element of row 2 ends up being 1, and you can then subtract it from row 3, or something ...
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