Question

Given matrix L=$\left[\begin{array}{cc}2& 1\\ 3& 2\\ 4& 5\end{array}\right]andM=\left[\begin{array}{cc}3& 2\\ 0& 1\end{array}\right]thenL\times Mis$

• A. $\left[\begin{array}{cc}8& 1\\ 13& 2\\ 22& 5\end{array}\right]$
• B. $\left[\begin{array}{cc}6& 5\\ 9& 8\\ 12& 13\end{array}\right]$
  
• C. $\left[\begin{array}{cc}1& 8\\ 2& 13\\ 5& 22\end{array}\right]$
  
• D. $\left[\begin{array}{cc}6& 2\\ 9& 4\\ 0& 5\end{array}\right]$
  

Answer 1

The correct option is B $\left[\begin{array}{cc}6& 5\\ 9& 8\\ 12& 13\end{array}\right]$


LM=${\left[\begin{array}{cc}2& 1\\ 3& 2\\ 4& 5\end{array}\right]}_{3\times 2}{\left[\begin{array}{cc}3& 2\\ 0& 1\end{array}\right]}_{2\times 2}={\left[\begin{array}{cc}6& 5\\ 9& 8\\ 12& 13\end{array}\right]}_{3\times 2}$