Consider the matrix

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

Problem

Consider the matrix

D=\begin{pmatrix}1 &0 &2\\2 &3 &4\\3 &6 &8\end{pmatrix}

. Calculate

\det(D)

and identify the correct conclusion. (a)

\det(D)=0;\;D\text{ is singular}

(b)

\det(D)=-6;\;D\text{ is non\,–singular}

(c)

\det(D)=6;\;D\text{ is non\,–singular}

(d)

\det(D)=6;\;D\text{ is singular}