Question:medium

If the system \[ x+y-z=\lambda, \] \[ 2x-y+\mu z=2, \] \[ x-y+3z=1 \] is inconsistent, then

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For a system to be inconsistent, first force the determinant to zero and then check whether the resulting equations are compatible.
Updated On: Jun 22, 2026
  • \(\mu=4,\ \lambda=1\)
  • \(\mu\neq4,\ \lambda=1\)
  • \(\mu=4,\ \lambda\neq1\)
  • \(\mu=1,\ \lambda\neq4\) \bigskip
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The Correct Option is C

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