The following system of equations

x1 + x2 + 2x3 = 1

x1 + 2x2 + 3x3 = 2

x1 + 4x2 + ax3 = 4

has a unique solution. The only possible value(s) for a is/are 

1
0
2
either 0 or 1
3
one of 0, 1 or -1
4
any real number other than 5.

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