The system of linear equations x + y z = 0 x y z = 0 x + y z = 0 has a non-trivial solution for:
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Given, the set of equations 2x + 3y - z = 0, x + Ky - 2z = 0 and 2x - y + z = 0 has a non – trivial solution If the system of equations 2x + 3y - z = 0, x + ky - 2z = 0 and 2x - y + z = 0 has a non – trivial solution (x, y, z), then (x/y) + (y/z) + (z/x) + k is given by:
⇒ Δ = 0
Therefore, we have,
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