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September 26th, 2012, 07:49 AM   #1
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unique solution

Does the matrix
0 1 0 -15
0 0 1 7
has a unique solution?

Thank you in advance
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September 26th, 2012, 09:32 AM   #2
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Re: unique solution

Hello, shine123!

Quote:

With three unknowns and only two equations, the answer is NO.

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September 26th, 2012, 11:21 AM   #3
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Re: unique solution

So, does in this case the first (left) unknown is a parameter?
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September 27th, 2012, 08:25 AM   #4
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Re: unique solution

I assume you are asking if the system of equation reducing to this augmented matrix has a unique solution. It should be easy to see that this matrix is equivalent to the system of equations 0x+ 1y+ 0x= 15 and 0x+ 0y+ 1z= 7, which are simply y= 15 and z= 7. x can be any number. IF that is what you mean by "the first (left) unknown is a parameter?", yes. The solution set is (x, y, z)= (t, 15, 7) where t can be any number.
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September 28th, 2012, 09:00 AM   #5
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Re: unique solution

THANK YOU!!!!
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