Mathematics

Problem

Identify the pair of non-zero

2\times 2

matrices whose product equals the zero matrix. (i)

A=\begin{bmatrix}1&2\\3&6\end{bmatrix},\; B=\begin{bmatrix}2&2\\-1&-1\end{bmatrix}

(ii)

A=\begin{bmatrix}1&0\\0&1\end{bmatrix},\; B=\begin{bmatrix}2&-1\\1&0\end{bmatrix}

(iii)

A=\begin{bmatrix}2&1\\0&3\end{bmatrix},\; B=\begin{bmatrix}0&2\\1&1\end{bmatrix}

(iv)

A=\begin{bmatrix}1&-1\\2&-2\end{bmatrix},\; B=\begin{bmatrix}3&0\\0&3\end{bmatrix}

Which option is correct? a) Only pair (ii) b) Pairs (i) and (iv) c) Only pair (i) d) Only pair (iv)