The system of equations begin{array}{l}alpha | vedclass

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Question

(c) For no solution or infinitely many solutions $\left| {\,\begin{array}{*{20}{c}}\alpha &1&1\1&\alpha &1\1&1&\alpha \end{a

Vedclass · Accepted Answer

$-2$

Vedclass · Answer

(c) For no solution or infinitely many solutions $\left| {\,\begin{array}{*{20}{c}}\alpha &1&1\1&\alpha &1\1&1&\alpha \end{array}\,} ight| = 0 \Rightarrow \alpha = 1,\alpha = - 2$.

But for $\alpha = 1$, clearly there are infinitely many solutions and when we put $\alpha = - 2$ in given system of equations and adding them together                              $L.H.S$ $ 
e $ $R.H.S$. i.e., No solution.

The system of equations $\begin{array}{l}\alpha x + y + z = \alpha - 1\\x + \alpha y + z = \alpha - 1\\x + y + \alpha z = \alpha - 1\end{array}$ has no solution, if $\alpha $ is

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