For what value(s) of is the matrix singular?

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

Problem

For what value(s) of kk is the matrix (k23k−1)\begin{pmatrix}k&2\\3&k-1\end{pmatrix} singular? (a) k=12k=\dfrac{1}{2} (b) k=3k=3 or k=−2k=-2 (c) k=0k=0 or k=1k=1 (d) No real value of kk

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