Chapter 13, Problem 5STP

To determine

To calculate: The products of given matrices.

Answer to Problem 5STP

  $[11-1]$

Explanation of Solution

Given Information: Two matrices $\left[\begin{array}{ccc}5& -2& 3\end{array}\right]$ and $\left[\begin{array}{l}\begin{array}{cc}1& -2\end{array}\\ \begin{array}{cc}0& 3\end{array}\\ \begin{array}{cc}2& 5\end{array}\end{array}\right]$ are given whose product is to be Determined.

Formula used: product of matrices.

Calculation:

  $\begin{array}{l}\left[\begin{array}{ccc}5& -2& 3\end{array}\right]\left[\begin{array}{l}\begin{array}{cc}1& -2\end{array}\\ \begin{array}{cc}0& 3\end{array}\\ \begin{array}{cc}2& 5\end{array}\end{array}\right]\\ =[5\times 1-2\times 0+3\times 25(-2)-2\times 3+3\times 5]\\ =[11-1]\end{array}$