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# Matrix Help. Watch

1. I just need help with this.

Consider the following equations
x + 2y + 2z = 1
2x + y + 3z = 3
4x + 5y + 7z =
(i) Find the value of for which these equations are consistent.
(ii) Find the general solution corresponding to this value of .
2. (Original post by StephenP91)
I just need help with this.

Consider the following equations
x + 2y + 2z = 1
2x + y + 3z = 3
4x + 5y + 7z =
(i) Find the value of for which these equations are consistent.
(ii) Find the general solution corresponding to this value of .
2*equation 1 + equation 2 =
3. (Original post by Get me off the £\?%!^@ computer)
2*equation 1 + equation 2 =
Equation 3, so would = 5 if they are consistent, but why? Ignore this. I understand. Simple enough.

I am more concerned about the general solution question anyway.
4. (Original post by StephenP91)
Equation 3, so would = 5 if they are consistent, but why? Ignore this. I understand. Simple enough.

I am more concerned about the general solution question anyway.
Well what have you done?
5. (Original post by Get me off the £\?%!^@ computer)
Well what have you done?
It's not the question that I find hard, it's simply that I don't know the method. Though I think I've guessed at it now.

You row reduce to echelon. You get Z to be some value and then you substitute from then, unless you get all 0s on the bottom, then you simply say z=z and go from there.

Though I am not entirely sure, I think it could be something like that.

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Updated: December 6, 2010
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