Conversion or matrix to hermite form

[karnten07]

Homework Statement

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.)

Homework 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

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

 

[Dick]

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