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Determine whether the following equation...

Determine whether the following equations will have non-trivial solutions, if so solve them: `x+3y-2z=0, 2x-y+4z=0,x-11y+14z=0`

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`A=[{:(1,3,-2),(2, -1,4),(1,-11,14):}]rArr|A|=0`
Hence infinite solutions exist.
Let z = 7t, then y = 8t, x = -10t
Hence solutions (-10t, 8t, 7t), `t in R`.
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