Chapter 8.8 Guided NotesUse page 372 and 373

Example Problem

An orchard grows Delicious, Jonathan, and Granny Smith apples. The apples are sold in boxes to two different markets. The profit is $5.85 on a box of Delicious apples, $4.25 on a box of Jonathan apples, and $3.75 on a box of Granny Smith apples. Find the profit of each market.

What are the values in matrix A?

What are the values in matrix B?

What do the numbers in the solution matrix represent?

Use this process to complete numbers 1 – 3 on page 373. Be sure to set up your matrices first, then use matrix multiplication to find your solution matrix.

Determinants

A matrix is a “square” matrix if it has the same number of rows and columns. For example, a 2x2 matrix is a square matrix.

You can figure out the determinant of a 2x2 square matrix with the following method:

Find the determinants of the following matrices:

You can figure out the determinant of a 3x3 square matrix with the following formula:

Can you notice a pattern that is easier than memorizing the formula?

Find the determinants of the following matrices.