Let . Find and choose the correct…

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

Problem

Let C=(2−346)C=\begin{pmatrix}2 & -3\\4 & 6\end{pmatrix}. Find det⁡(C)\det(C) and choose the correct statement. (a) det⁡(C)=0 and C is singular\det(C)=0 \text{ and } C \text{ is singular} (b) det⁡(C)=−24 and C is non-singular\det(C)=-24 \text{ and } C \text{ is non-singular} (c) det⁡(C)=24 and C is non-singular\det(C)=24 \text{ and } C \text{ is non-singular} (d) det⁡(C)=24 and C is singular\det(C)=24 \text{ and } C \text{ is singular}

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