91Ó°ÊÓ

Write the multiplication of first row of first matrix and each column of second matrix and perform addition between the multiplications to form the first row of product matrix.

$\left[\begin{array}{ccc}0â‹\dots 3+8â‹\dots 0& 0â‹\dots 1+8â‹\dots 8& 0â‹\dots (−2)+8â‹\dots (−5)\\ & & \\ & & \end{array}\right]$

Write the multiplication of second row of first matrix and each column of second matrix and perform addition between the multiplications to form the second row of product matrix

$\left[\begin{array}{ccc}0â‹\dots 3+8â‹\dots 0& 0â‹\dots 1+8â‹\dots 8& 0â‹\dots (−2)+8â‹\dots (−5)\\ 3â‹\dots 3+1â‹\dots 0& 3â‹\dots 1+1â‹\dots 8& 3â‹\dots (−2)+1â‹\dots (−5)\\ & & \end{array}\right]$

Write the multiplication of third row of first matrix and each column of second matrix and perform addition between the multiplications to form the third row of product matrix

$\left[\begin{array}{ccc}0â‹\dots 3+8â‹\dots 0& 0â‹\dots 1+8â‹\dots 8& 0â‹\dots (−2)+8â‹\dots (−5)\\ 3â‹\dots 3+1â‹\dots 0& 3â‹\dots 1+1â‹\dots 8& 3â‹\dots (−2)+1â‹\dots (−5)\\ (−1)â‹\dots 3+5â‹\dots 0& (−1)â‹\dots 1+5â‹\dots 8& (−1)â‹\dots (−2)+5â‹\dots (−5)\end{array}\right]$

Perform simplification of obtained matrix.

$\left[\begin{array}{ccc}0& 64& −40\\ 9& 11& −11\\ −3& 39& −23\end{array}\right]$