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Linear Algebra

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Inconsistent System

LINALG-JODGNB

Consider the system:

$2x-y=1$
$x+cy={{-1}\over 2}$

What value or values of $c$, if any, will create an inconsistent system?

A

$c={{-1}\over 2}$ will make the system inconsistent.

B

$c={1\over 2}$ will make the system inconsistent.

C

No value of $c$ will make the system inconsistent.

D

Every value of $c\neq {{-1}\over 2}$ will make the system inconsistent.