If the system of equations \( x+a y=0, a z+y=0 \), and \( a x+z=0 \) has infinite solutions then...

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If the system of equations \( x+a y=0, a z+y=0 \), and \( a x+z=0 \) has infinite solutions then the value of \( a \) is
(A) \( -1 \)
(B) \( 1 \)
(C) \( 0 \)
(D) no real values
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