[MOVED] Gauss Jordan Elimination Parameter Q

grapz

Junior Member
Joined
Jan 13, 2007
Messages
80
I am not sure how to write a solution in parametric form.

Here is the augmented matrix and equations

x + 2 y - 3z = -2
3x - y - 2z = 1
2x + 3y - 5z = -3

Matrix:

1 2 -3 | -2
3 -1 -2 | 1
2 3 -5 | -3

I get to the row reduced echelon form:

1 0 -1 | 0
0 1 -1 | -1
0 0 0 | 0

How do i write this in parametric form? i am confused. thx
 
x +0y -z = 0
0x + y - z = -1
0x + 0y + 0z = 0 [Duh =P]

You should have a 1 in each column though, or else it won't work :S.

I'm suffering from a bit of mental blockage (ahh) so I'll leave it at that.
Sorry I couldn't be of much help.
 
Re: Gauss Jordan Elimination Parameter Question

grapz said:
I get to the row reduced echelon form:
1 0 -1 | 0
0 1 -1 | -1
0 0 0 | 0
How do i write this in parametric form?
Here is one choice.
\(\displaystyle z = \alpha \quad \left( { \alpha ,\alpha - 1,\alpha } \right).\)
 
Re: Gauss Jordan Elimination Parameter Question

pka said:
grapz said:
I get to the row reduced echelon form:
1 0 -1 | 0
0 1 -1 | -1
0 0 0 | 0
How do i write this in parametric form?
Here is one choice.
\(\displaystyle z = \alpha \quad \left( { \alpha ,\alpha - 1,\alpha } \right).\)

do u think u can explain to me how u got to the answer ( a , a-1 , a)? thx
 
grapz said:
[D]o [you] think [you] can explain to me how [you] got to the answer ( a , a-1 , a)? [Thanks!]
Try following the steps the tutor gave. If x = a, then what do you get for "y=" and "z="?

When you reply showing your work and reasoning, please use standard English (have a friend who knows the language help, if necessary), so people here can understand what you mean.

Thank you.

Eliz.
 
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