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The system of linear equations , and has a unique solution if:

Mathematics20261 markMCQ
The system of linear equations $x + y + z = 6$, $x + \lambda y + 2z = 7$ and $3x + y + z = 12$ has a unique solution if:
  • a$\lambda = 2$
  • b$\lambda \neq 2$
  • c$\lambda = -2$
  • d$\lambda \neq -2$

Answer

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Determinants

From ISC 2026 Improvement Mathematics Paper 1, question 1(x).