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Consider the system of linear equations

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Consider the system of linear equations
\[
\begin{array}{rc}
k x+y+z & =1 \\
x+k y+z & =1 \\
x+y+k z & =1
\end{array}
\]
For what value(s) of \(k\) does this have (i) a unique solution?
(ii), no solution?
(iii) infinitely many solutions? (Justify your assertions).
in Mathematics by Platinum (101k points) | 258 views

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