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Conversion or matrix to hermite form

  1. Oct 29, 2007 #1
    1. The problem statement, all variables and given/known data
    reduce the following matrix to hermite form using elementary row operations and assuimg ad-bc is nto equal to zero

    (a b f 1 0)
    (c d g 0 1)

    (That is supposed to be one matrix.)

    2. Relevant equations
    A hermite form is descirbed as a row - echelon matrix with leading 1's and 0's above the leading 1's.
    The elementary row operations alowed are as such: interchange 2 rows, multiply/divide a row by a non zero scalar, add/subtract one row to another

    3. The attempt at a solution
    i see that i need to get a 1 at the start of the top row and a zero and then a 1 as the start of the second row, but unsure how to do this? any ideas please, many thanks
  2. jcsd
  3. Oct 29, 2007 #2


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    Start by multiplying the first row by c/a and subtracting it from the second row.
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