Let A= bmatrix 1&1 2&2 bmatrix

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

Problem

Let

A=\begin{bmatrix}1&1\\2&2\end{bmatrix}.

Which one of the following matrices

B

satisfies both

AB=O

and

BA\neq O

? (a)

\begin{bmatrix}2&-1\\-2&1\end{bmatrix}

(b)

\begin{bmatrix}0&0\\0&0\end{bmatrix}

(c)

\begin{bmatrix}1&-1\\-1&1\end{bmatrix}

(d)

\begin{bmatrix}2&4\\-1&-2\end{bmatrix}