SOLUTION: Please help me with this multiple choice matrix question: While using the Gaussian method you get [0 0 0 5] as a row in your augmented matrix. What can you conclude about the sy

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Question 985498: Please help me with this multiple choice matrix question:
While using the Gaussian method you get [0 0 0 5] as a row in your augmented matrix. What can you conclude about the system of equations you are dealing with?
The system is:
a) solvable , b) inconsistent , c) dependent
Thank you.
Found 2 solutions by solver91311, ikleyn:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

A consistent system has at least one solution.

An inconsistent system has no solutions.

An independent system has exactly one solution.

A dependent system has infinitely many solutions.

Getting a [0 0 0 5] row in an augmented matrix is the same as getting a 0 = 5 result when solving by any other means.

John

My calculator said it, I believe it, that settles it

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!

The system is not solvable,  inconsistent and dependent in the same time  (simultaneously).

Indeed,  you have the resulting equation of the form
0*x + 0*y + 0*z = 5.