Question: For what value ( s ) of a does the system have nontriv - ial solutions? x 1 + 2 x 2 + x 3

For what value(s) of a does the system have nontriv-
ial solutions?
x1+2x2+x3=0
-x1-x2+x3=0
3x1+4x2+ax3=0
For what value(s) of a does the system have nontriv- ial

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