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Math Help - canonical/row reduced form need urgent help

  1. #1
    Junior Member
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    University of California, Berkeley
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    canonical/row reduced form need urgent help

    i solved
    Last edited by yellow4321; January 17th 2008 at 04:46 PM. Reason: desperate
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  2. #2
    Senior Member
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    \left( \begin {array}{cccc|c}<br />
3 & 6 & -3 & 0 & 18 \\<br />
3 & 6 & -3 & 2 & 0 \\<br />
0 & 1 & -8 & 3 & 7 \\<br />
3 & 7 & -11 & 3 & 25<br />
\end {array} \right)

    subtract first row from 2nd and 4th rows then swap 2nd and 3rd rows and divide first row by 3

    \left( \begin {array}{cccc|c}<br />
1 & 2 & -1 & 0 & 6 \\<br />
0 & 1 & -8 & 3 & 7 \\<br />
0 & 0 & 0 & 2 & -18 \\<br />
0 & 1 & -8 & 3 & 7<br />
\end {array} \right)<br />

    subtract double 2nd row from first row and subtract 2nd row from 4th row and divide 3rd row by 2

    \left( \begin {array}{cccc|c}<br />
1 & 0 & 15 & -6 & -12 \\<br />
0 & 1 & -8 & 3 & 7 \\<br />
0 & 0 & 0 & 1 & -9 \\<br />
0 & 0 & 0 & 0 & 0<br />
\end {array} \right)<br />
    add 6 times 3rd row to first row and subtract 3 times 3rd row to 2nd row.

    \left( \begin {array}{cccc|c}<br />
1 & 0 & 15 & 0 & -66 \\<br />
0 & 1 & -8 & 0 & 34 \\<br />
0 & 0 & 0 & 1 & -9 \\<br />
0 & 0 & 0 & 0 & 0<br />
\end {array} \right)<br />

    I'm not really sure where your algorithms could be going wrong. I just do these from left to right, getting 0s in all but one row and a one in the non-zero row then moving to the next column.
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