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 Post subject: parameters in a system of linear equations questionPosted: Thu, 14 Jun 2012 23:16:10 UTC
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Joined: Thu, 14 Jun 2012 16:15:13 UTC
Posts: 4
how do I find the values of the parameter s for which the system has a unique solution in this problem?

3sx - 3y = 4
-6x - sy = 1

I already setuped the matrix vector equation but don't know what else. I also did det A = 0 where I got +-4 but don't know if that was the right method. how do I solve this problem?

afterwards how do I find all values of s such that the system above has a unique solution, find that solution?

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 Post subject: Re: parameters in a system of linear equations questionPosted: Thu, 14 Jun 2012 23:19:12 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
ktau2010 wrote:
how do I find the values of the parameter s for which the system has a unique solution in this problem?

3sx - 3y = 4
-6x - sy = 1

I already setuped the matrix vector equation but don't know what else. I also did det A = 0 where I got +-4 but don't know if that was the right method. how do I solve this problem?

afterwards how do I find all values of s such that the system above has a unique solution, find that solution?

The determinant is a fine way to do this.

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 Post subject: Re: parameters in a system of linear equations questionPosted: Thu, 14 Jun 2012 23:43:58 UTC
 S.O.S. Newbie

Joined: Thu, 14 Jun 2012 16:15:13 UTC
Posts: 4
ktau2010 wrote:
how do I find the values of the parameter s for which the system has a unique solution in this problem?

3sx - 3y = 4
-6x - sy = 1

I already setuped the matrix vector equation but don't know what else. I also did det A = 0 where I got +-4 but don't know if that was the right method. how do I solve this problem?

afterwards how do I find all values of s such that the system above has a unique solution, find that solution?

The determinant is a fine way to do this.

thx.

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