Homogenous system - Nontrivial solutions

[shiri]

For which values of 'a' does the homogeneous system

ax1 + x2 - x3 = 0
x1 - x2 + 2x3 = 0
2x1 + 3x2 + x3 = 0

have a nontrivial solution? Find all the nontrivial solutions.

 

[berkeman]

For which values of 'a' does the homogeneous system

ax1 + x2 - x3 = 0
x1 - x2 + 2x3 = 0
2x1 + 3x2 + x3 = 0

have a nontrivial solution? Find all the nontrivial solutions.

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