The number of solution of the following equat | vedclass

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Question

(a) $D = \left| {\,\begin{array}{*{20}{c}}0&1&{ - 1}\{ - 1\,\,\,}&0&{\,\,\,2}\1&{ - 2\,\,\,}&{\,\,\,0}\end{array}\,} ight|

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(a) $D = \left| {\,\begin{array}{*{20}{c}}0&1&{ - 1}\{ - 1\,\,\,}&0&{\,\,\,2}\1&{ - 2\,\,\,}&{\,\,\,0}\end{array}\,} ight|\, = \,0$
$D = \left| {\,\begin{array}{*{20}{c}}
1&1&{ - 1}\
{ - 2\,\,\,}&0&{\,\,\,2}\
3&{ - 2\,\,\,}&{\,\,\,0}
\end{array}\,} ight|\, = \,14 \Rightarrow {D_1} 
e 0$
$D = 0$ and ${D_1} 
e 0$,hence the system is inconsistent, so it has no solution.

The number of solution of the following equations ${x_2} - {x_3} = 1,\,\, - {x_1} + 2{x_3} = - 2,$ ${x_1} - 2{x_2} = 3$ is

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