Question

find the product of given matrix is A ​

Answer 1

$\huge\bold{\gray{\sf{Answer:}}}$

$\bold{Explanation:}$

✹Here,the matrics A is

$2 \times 3\:and \: B \: is \: 3 \times 2$ of order.

So,the resultant matric we would obtain will be $\bold{3 \times 3}$ of order.

Let's understand with this mechanism:

$A\:is\:2 \times 3\:and \: B \: is \: 3 \times 2$ (order of pair)

$2 \times {\underbrace{\bold{3\:\:\:\:3}}} \times 2$

=>Order is obtained by multiplying with their rows and columns of matrices.

A=$\sf{\left[\begin{array}{c c c} 1& -2\\ 2& 3\end{array}\right]}$

B=$\sf{\left[\begin{array}{c c c} 1& 2&3\\ 2& 3&1\end{array}\right]}$

AB=$\sf{\left[\begin{array}{c c c} 1\times1-2\times2&1\times 2-2\times3&1\times3-2\times1\\ 2\times1+3\times2& 2\times2+3\times3&2\times3+3\times1\end{array}\right]}$

AB=$\sf{\left[\begin{array}{c c c} 1-4& 2-6&3-2\\ 2+6& 4+9&6+3\end{array}\right]}$

AB=$\sf{\left[\begin{array}{c c c} -3& -4&1\\ 8& 13&9\end{array}\right]}$