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Question

Explain what is means for a system of equations to be inconsistent and how you can tell whether a system is inconsistent using Gaussian elimination.

Submitted: 266 days and 8 hours ago.
Category: Math
Value: $9
Status: CLOSED
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Optional Information

Level: college; Subject: algebra

Accepted Answer

Hi there,

 

If a system is "inconsistent" there are no solutions to it.

 

If you use Gaussian elimination and you are left with a matrix like:

1 0 3

0 0 7

Then it's inconsistent. You can tell that, because the second row implies that 0 = 7, which is obviously false. Basically, you are looking for rows that imply something false.

 

Let me know if you have any questions,

Scott

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Expert: Scott
Pos. Feedback: 100.0 %
Accepts: 
Answered: 3/1/2009

MIT Graduate

College degree in math... proficient in all levels -- from algebra to calculus

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