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Pivot Variables

LINALG-JDKZ8Q

Find the pivot variables for the linear system below:

$x+y+z=1$
$x+y-z=1$
$x-y +z=-1$

A

All the variables are pivot variables.

B

None of the variables are pivot variables

C

$x$ and $z$ but not $y$ are pivot variables.

D

$y$ is a pivot variable. $x$ and $z$ are not pivot variables.

E

None of the above.