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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- Aug 3rd 2008, 06:36 AMszpengchaohow 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 - Aug 3rd 2008, 01:24 PMMatt Westwood
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 ...