Let . Which of the following is…

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

Problem

Let

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

. Which of the following is

A^{-1}

? (a)

\begin{pmatrix}-\dfrac12 & \dfrac32\\1 & -2\end{pmatrix}

(b)

\begin{pmatrix}\dfrac12 & -\dfrac32\\-1 & 2\end{pmatrix}

(c)

\begin{pmatrix}-\dfrac12 & -\dfrac32\\-1 & -2\end{pmatrix}

(d)

\begin{pmatrix}-2 & \dfrac32\\1 & -\dfrac12\end{pmatrix}