Determine the real value of for which the matrix is singular.

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

Determine the real value of λ\lambda for which the matrix P=(λ211λ221λ)P=\begin{pmatrix} \lambda & 2 & 1\\ 1 & \lambda & 2\\ 2 & 1 & \lambda \end{pmatrix} is singular. (a) λ=3\lambda=3 (b) λ=0\lambda=0 (c) λ=−3\lambda=-3 (d) λ=2\lambda=2

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