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## Homework Statement

Just need help identifying pivots columns

[tex]\begin{bmatrix}

1 & 1 & 1 &1 &1\\

0& 0& 0& 0&0\\

0& 0& 0& 0&9

\end{bmatrix}[/tex]

From my understanding, any column with 1s and everything below it 0s are all pivot columns right?

Is the above all pivot columns? Also for a 3 x 5 coefficent matrix that has three pivot columns, is the system consistent?

The book says it is not, but why? The one above is a counterargument given by me. Does anyone know the LaTeX code to make an augmented matrix? Like put a bar before the constants