gauss-jordan elimination problems?

T

Tiffany Marie

New member
help me out, this is mind boggling to me -__- even if you don't do both!

-9x1 - 3x2 = -27
3x1 + 3x2 = -9




the second one:

-4x1 - 2x2 = -18
2x1 + x2 = -9
 
For the first one:
-9x1 - 3x2 = -27
3x1 + 3x2 = -9

R2 + R1 => R2
(R1 = first row. R2 = second row. Do the 2nd row plus the 1st row to get a new 2nd row)
=>
-9x1 - 3x2 = -27
-6x1 + 0x2 = -36

-1/3R1
-1/6R2

=>
3x1 1x2 = 9
1x1 + 0x2 = 6

------------------------------------------
For the second one:

-4x1 - 2x2 = -18
2x1 + x2 = -9

-1/2R1

=>
2x1 +1x2 = 9
2x1 + x2 = -9

R2 -R1 => R2

2x1 +1x2 = 9
0x1 + 0x2 = -18

(Looks like you found that it is inconsistent because you can not have 0x1 + 0x2 = -18)
 
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