$\left| \begin{array}{r} a - b + c\ \ \ \ \ –a - b + c\ \ \ \ \ \ \ \ \ 1 \ a + b + 2c\ \ \ \ –a + b + 2c\ \ \ \ \ 2 \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \end{array} ight|$ is

Question

$\left| \begin{array}{r} a - b + c\ \ \ \ \ –a - b + c\ \ \ \ \ \ \ \ \ 1 \ a + b + 2c\ \ \ \ –a + b + 2c\ \ \ \ \ 2 \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \end{array} ight|$ is

Dr. Abubacker · Accepted Answer

(c)
$\left| \begin{array}{r}
a - b + c\ \ \ \ \ –a - b + c\ \ \ \ \ \ \ \ \ 1 \
a + b + 2c\ \ \ \ –a + b + 2c\ \ \ \ \ 2 \
3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3
\end{array} ight|$
$\left| \begin{array}{r}
2a\ \ \ \ \ \ \ \ \ \ \ \  - 2a\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0 \
a + b + 2c\ \ \ \ –a + b + 2c\ \ \ \ \ 2 \
3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3
\end{array} ight|$
[$using\ R_{1} ightarrow R_{1} + R_{2} - R_{3}brack$
$= 2a( - 3a + 3b + 6c - 6c) + 2a(3a + 3b + 6c - 6c)$
$= 12ab$

Q. $\left| \begin{array}{r} a - b + c\ \ \ \ \ –a - b + c\ \ \ \ \ \ \ \ \ 1 \\ a + b + 2c\ \ \ \ –a + b + 2c\ \ \ \ \ 2 \\ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3c\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \end{array} \right|$ is

Explanation

Reviewed by Dr. Abubacker

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