system matrix:

I'm not sure where to start. Should I switch row 3 and row 1?

Printable View

- January 28th 2011, 10:35 AMqazLinear system solutions using Gauss-Jordan elimination

system matrix:

I'm not sure where to start. Should I switch row 3 and row 1? - January 28th 2011, 10:55 AMalexmahone
- January 28th 2011, 12:31 PMHallsofIvy
Your first objective, in row reduction, is to get a "1" in the first column, first row. Yes, you can do that by swapping the first and third rows (which is a row operation). In general, as long as the number already is "first column, first row" is not 0, you can get a "1" there by dividing the entire row by that number (here, "a") but for this problem swapping rows is simpler.

- January 28th 2011, 01:29 PMdwsmith
- January 29th 2011, 07:46 AMqaz
Hello,

So I did start by switching row 1 and row 3...

if than rank(A) = 3 = rank([A|B]) = 3 -> Possible,

if than rank(A) = 3 > rank([A|B]) = 2 -> ?? - January 29th 2011, 01:33 PMdwsmith