System with coefficient matrix [k 1 1; 1 k 1; 1 1 k]: when there is no solution or infinitely many

1. A.
   0
2. B.
   1
3. C.
   -1
4. D.
   -2

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1. A.
   It has infinitely many solutions if $\alpha = 2$ and $\beta = - 1$
2. B.
   It has no solution if $\alpha = - 2$ and $\beta = 1$
3. C.
   $x + y + z = \frac{3}{4}$ if $\alpha = 2$ and $\beta = 1$
4. D.
   It has infinitely many solutions if $\alpha = 1$ and $\beta = 1$

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1. A.
   4
2. B.
   12
3. C.
   6
4. D.
   2

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