Let . Which statement is true about…

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

Problem

Let

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

. Which statement is true about

A

? (a)

\det(A)=2

and

A

possesses an inverse. (b)

\det(A)=0

but

A

possesses an inverse. (c)

\det(A)=0

and

A

has no inverse. (d)

\det(A)\neq0

and

A

possesses an inverse.