Chapter 8.2, Problem 42E

To determine

To find: $AB$ , if possible.

Answer to Problem 42E

The matrices evaluated using graphing calculator is $\left[\begin{array}{cc}252& 30\\ 298& 452\\ 217& 180\end{array}\right]$ .

Explanation of Solution

Given information:

Given matrix

  $A=\left[\begin{array}{ccc}11& -12& 4\\ 12& 10& 12\\ 6& -2& 9\end{array}\right],B=\left[\begin{array}{cc}12& 10\\ -5& 12\\ 15& 16\end{array}\right]$

Calculation:

Consider the following matrices,

  $A=\left[\begin{array}{ccc}11& -12& 4\\ 12& 10& 12\\ 6& -2& 9\end{array}\right],B=\left[\begin{array}{cc}12& 10\\ -5& 12\\ 15& 16\end{array}\right]$

Calculate the product of two matrices using the TI-83 graphing calculator follow the steps:

Press 2^nd and $X^{-1}$ then in edit enter the matrix, the display will be as shown below,

Press quit then 2^nd button and then $X^{-1}$ then in edit enter the matrix, the screen will look like below,

Go in names and enter the matrix $A$ and matrix $B$ as done below,

Hence product of the matrices evaluated using graphing calculator is $\left[\begin{array}{cc}252& 30\\ 298& 452\\ 217& 180\end{array}\right]$ .