Question

$A=\left[\begin{array}{cc}1& 2\\ 3& 2\\ -1& 0\end{array}\right]$ and $B=\left[\begin{array}{ccc}1& 3& 2\\ 4& -1& 3\end{array}\right],$then $AB$ can be defined of order

• A. $2\times 2$
• B. $3\times 3$
• C. $1\times 3$
• D. $3\times 2$

Answer 1

Answer: (B)

$3\times 3$

Since, $A\to 3\times 2$ and $B\to 2\times 3$

$\therefore AB\to 3\times 3$

$\Rightarrow$ order of matrix $\Rightarrow 3\times 3$