Question

The product $\left[P\right][Q{]}^T$ of the following two matrices [P] and [Q] is

$\left[P\right]=\left[\begin{array}{cc}2& 3\\ 4& 5\end{array}\right]$ ; $\left[Q\right]=\left[\begin{array}{cc}4& 8\\ 9& 2\end{array}\right]$

• A. $\left[\begin{array}{cc}32& 24\\ 56& 46\end{array}\right]$
• B. $\left[\begin{array}{cc}46& 56\\ 24& 32\end{array}\right]$
• C. $\left[\begin{array}{cc}35& 22\\ 61& 42\end{array}\right]$
• D. $\left[\begin{array}{cc}32& 56\\ 24& 46\end{array}\right]$

Answer 1

The correct option is A $\left[\begin{array}{cc}32& 24\\ 56& 46\end{array}\right]$

$P{Q}^T$ = $\left[\begin{array}{cc}2& 3\\ 4& 5\end{array}\right]$ $\left[\begin{array}{cc}4& 9\\ 8& 2\end{array}\right]$ = $\left[\begin{array}{cc}32& 24\\ 56& 46\end{array}\right]$