WARM UP

QUESTION #1) 0 10 1

−3 3−6 6

a) 3 3−6 6

b) −3 −26 −5

c) 0 10 1

d) 0 00 0

4.3

Matrix Application

MDM

OBJECTIVES

Use matrix operations to answer problems in a real

world context

MATRICES APPLICATION

Matrices can be used in various situations in business

and economics to represent data.EXAMPLE: Annual productions of two branches selling three types of items.

2000 2876 23147542 3214 2969

BRANCH ITEM A ITEM B ITEM C

I

II

MATRICES APPLICATION

The unit cost of transportation of an item from each

of the three factories to each of the four

warehouses can be represented in a matrix.

Explain the meaning of the

data in Row 2.

MATRICES APPLICATION ANSWERS

Explain the meaning of the

data in Row 2.

It cost $22 to ship from Factory II to Warehouse 1.

It cost $26 to ship from Factory II to Warehouse 2.

It cost $11 to ship from Factory II to Warehouse 3.

It cost $19 to ship from Factory II to Warehouse 4

MATRICES APPLICATION

QUESTION #2

Which factory should ship to Warehouse 2?

a) I

b) II

c) III

d) doesn’t matter

MATRICES APPLICATION

QUESTION #2

Which factory should ship to Warehouse 2?

a) I

b) II

c) III

d) doesn’t matter

MATRICES APPLICATION

The quarterly sales of Jute, Cotton, and Yarn for the year 2002 and 2003 are given below.

Find the total quarterly sales of Jute, Cotton, and Yarn for two years.

MATRICES APPLICATION ANSWERS

Find the total quarterly sales of Jute, Cotton, and Yarn for two years.

20 25 22 2010 20 18 1015 20 15 15

+10 15 20 205 20 18 108 30 15 10

=20 + 10 25 + 15 22 + 20 20 + 2010 + 5 20 + 20 18 + 18 10 + 1015 + 8 20 + 30 15 + 15 15 + 10

=30 40 42 4015 40 36 2023 50 30 25

MATRICES APPLICATION

You need to calculate the final grade of the three

students listed below.

Create a matrix representing the students and their

average category numbers.

MATRICES APPLICATION ANSWERS

Create a matrix representing the students and their

average category numbers.

92 100 89 8072 85 80 7588 78 85 92

MATRICES APPLICATION

You need to calculate the final grade of the three

students listed below.

Create a matrix representing the weight of the

categories.

MATRICES APPLICATION ANSWERS

Create a matrix representing the weight of the

categories.

.4.15.25.2

MATRICES APPLICATION

You need to calculate the final grade of the three students listed below.

Using their category test average and the grade weight of each category, find the final grades for each student. HINT: Multiply

MATRICES APPLICATION ANSWERS

Using their category test average and the grade weight of each category, find the final grades for each student.

92 100 89 8072 85 80 7588 78 85 92

×

.4.15.25.2

=92 × .4 + 100 × .15 + 89 × .25 + 80 × .272 × .4 + 85 × .15 + 80 × .25 + 75 × .288 × .4 + 78 × .15 + 85 × .25 + 92 × .2

=90.0576.5586.55

OBJECTIVES

Use matrix operations to answer problems in a real

world context

HOMEWORK

Assignment 4.3

EDPuzzle 4.3

Quick Check

QUESTION #3

How are you feeling about your matrix

understanding?

Test Next time

Quick Check

As an avid reader you keep a record of all readings done in June, July, and August.

5) Find the total number of each type of book/magazine read over those three months.