system matrix:

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

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- Jan 28th 2011, 11:35 AMqazLinear system solutions using Gauss-Jordan elimination

system matrix:

I'm not sure where to start. Should I switch row 3 and row 1? - Jan 28th 2011, 11:55 AMalexmahone
- Jan 28th 2011, 01:31 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.

- Jan 28th 2011, 02:29 PMdwsmith
- Jan 29th 2011, 08:46 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 -> ?? - Jan 29th 2011, 02:33 PMdwsmith