Loser66
  • Loser66
Please, give me a counterexample for this: A linear system is consistent if and only if there are free variables in the row-echelon form of the corresponding augmented matrix
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ganeshie8
  • ganeshie8
take system of equations wid uniq solution, then we wont be having any free variables ?
ganeshie8
  • ganeshie8
x+y = 2 x-y = 4 may work
ganeshie8
  • ganeshie8
the system is consistent as the ranks of coefficient and augmented matrices are equal to 2 is this wat u looki ng for ?

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Loser66
  • Loser66
May be!! I am so sorry. I will have test at 10:30 and have only this question not answer yet. Cannot think anything else at this moment. Need help and rely on you only.
Loser66
  • Loser66
I don't know why I am so nervous for this test which never happen before. 30 more minutes and then whatsoever.
ganeshie8
  • ganeshie8
ok, you wil do great im sure :) 3 things :- 1)we say a system is consistent if it has unique OR infinitely many solutions. 2)when we get free variables, we will have infinitely many solutions 3)when we dont get any free variables, we will have am uniq solution
Loser66
  • Loser66
Got you. Thanks a lot.
ganeshie8
  • ganeshie8
np :) all the best for the test =))
Loser66
  • Loser66
Thank you very much

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