(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Its number four on this link:

http://www.math.pitt.edu/~dwang/math0280/math0280-r1.pdf" [Broken]

3. The attempt at a solution

Well I reduced it to echelon form, and thats not really what I have the question on.

But I have three equations now, but I am not sure what values of k would imply what type of solutions.

My equations are:

0 = k^{2}-2

3y-2z+2=k

x-2y+3z=2

I am thinking there is a unique solution at k equals plus or minus the square root of 2.

Because the first equation is really the only thing that would limit the solutions. Is that right?

SO would there be no solutions when k is anything BUT plus or minus the square root of 2?

But then I am not sure what k value would yield infinite results?

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# Homework Help: Uniqueness of a system of equations

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