3. Find the value of a for which the following linear systems has a unique solution, an infinite

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To solve this system, I&#x27;m going to take a couple of different sets. I&#x27;m going to do the first eq

3. Find the value of \( a \) for which the following linear systems has a unique solution, an infinite number of solutions or no solution: \[ \begin{array}{c} x+y+z=2 \\ 2 x+3 y+2 z=5 \\ x+y+\left(a^{2}-1\right) z=a+1 . \end{array} \]