Let and . It is known that both and . Determine the value of…

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

Let

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

and

B=\begin{pmatrix}3 & -1 \\ 2 & k\end{pmatrix}

. It is known that both

AB=I_2

and

BA=I_2

. Determine the value of

k

. (a)

\dfrac13

(b)

-\dfrac23

(c)

-\dfrac13

(d)

-1