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Linear Algebra

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$2 \times 2$ with No Solution

LINALG-BYFL@G

Consider this system of linear equations:

  • $2x+y=b$
  • $ -x -{1\over 2} y = c$

What must be true about $b$ and $c$ if the system has no solution?

A

$b\neq c$

B

$b={{-1}\over 2}c$

C

$2c+b\neq 0$

D

$b=c$