Chapter 4.3, Problem 3CYP

To determine

To find: The most point scored by Lisa Leslie in her regular season scoring. And hence find the number of points scored by Lisa Leslie in that season.

Answer to Problem 3CYP

The answer is given below.

Explanation of Solution

Given:

The given table of Lisa Leslie are:

Type	$2003$	$2004$	$2005$	$2006$
Field Goal	$153$	$217$	$197$	$249$
$3$ -Point Field Goal	$12$	$6$	$7$	$8$
Free Throw	$82$	$146$	$102$	$158$

In order to find the season in which Lisa Lesliescored the highest , first it is need to use matrix multiplication to find the pints scored during each season.

The total baskets can be summarized in the baskets matrix $B$ . The point values for each type of basket made can be organized in the point value matrix $P$ .

Here $\begin{array}{c}B=\left[\begin{array}{ccc}153& 217& 197\\ 12& 6& 7\\ 82& 146& 102\end{array}\begin{array}{c}249\\ 8\\ 158\end{array}\right]\\ P=\left[\begin{array}{ccc}2& 3& 1\end{array}\right]\end{array}$

The matrix multiplication is given as:

  $\begin{array}{c}PB=\left[\begin{array}{ccc}2& 3& 1\end{array}\right]\cdot \left[\begin{array}{ccc}153& 217& 197\\ 12& 6& 7\\ 82& 146& 102\end{array}\begin{array}{c}249\\ 8\\ 158\end{array}\right]\\ =\left[\begin{array}{cccc}424& 598& 517& 680\end{array}\right]\end{array}$

The product matrix shows that Lisa Leslie scored the highest in the 2006 season.

The number of points scored by Lisa Leslie in that season are $680$ .