Consider the matrix

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

Problem

Consider the matrix A(k)=(k111k111k)A(k)=\begin{pmatrix}k & 1 & 1\\1 & k & 1\\1 & 1 & k\end{pmatrix}. For which value(s) of kk is A(k)A(k) singular? (a) k=1k=1 only (b) k=−2k=-2 only (c) k=1k=1 or k=−2k=-2 (d) k=1k=1 or k=2k=2

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