4.1 –Basic Matrix Operations

4.1 ¨C Basic Matrix Operations

Write your questions and

thoughts here!

1

What is a matrix?

A matrix is¡­

Pizza Delivery Problem:

Gina¡¯s Vin¡¯s Toni¡¯s Sal¡¯s

Pizza

$12

Drinks $1.50

Salad

$4

$10

$11

$13

$1

$0.50

$1

$4.50 $3.50

$3

The same information can be organized into a matrix:

Matrix Dimensions:

The dimensions of a matrix are read ______ by _______________.

What are the dimensions of the following matrices?

5

2

11

9

7

15

5

6

0

____ x ____

1

1

4

1

1

5

2 5

5 1

5

1

4

____ x ____

____ x ____

Elements (or entries):

If the following matrix is called matrix , then

5

2

11

A2,1 =

1

100

A3,2 =

9

7

15

1

2

5

____ x ____

is the element in row 1 column 2.

5

6

0

1

1

4

A1,4 =

A2,3 =

4.1 ¨C Basic Matrix Operations

Write your questions and

thoughts here!

2

Adding and Subtracting Matrices:

1. To add or subtract two matrices, the dimensions ________________________.

2. Add (or subtract) the corresponding ________________.

Evaluate.

3 5

1.

0

1

2

4

7

9

2.

2

8

3

5

3.

4

2

2

6

4

1

Multiplying by a scalar:

This is very simple¡­just ______________ the scalar to each element.

Evaluate.

2

4. 5

3

6

1

5. 10

Solving for an unknown MATRIX:

6.

10

4

2

0

6

3

5

7

3

24

4

5

3

Solving for an unknown ELEMENT:

7.

7

6

9

0

2

2

4

6

4

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4.1 Practice - Basic Matrix Operations

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Simplify. Write "undefined" for expressions that are undefined.

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Solve each equation.

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Worksheet by Kuta Software LLC

For all problems, write out your equations and show your work. No work = no credit.

1. In 1996, there were 320 species of animals that were endangered in the United States and 431

plant species endangered. In that same year, there were 521 species of animals that were

endangered outside the United States (foreign) and only one plant species. (Source: 1997

Information Please Almanac) Create a matrix that organizes this information and label the rows

and columns accordingly.

2. The St. Louis Cardinals defeated the Texas Rangers in the 2011 World Series in a thrilling 7©\game

series. The matrices below show the statistics for runs, hits, and errors for each team in each

game.

a. Write one matrix that gives the series statistics for runs, hits, and RBIs for each team.

b. Which team had the most total runs?

c. Which team had the most hits?

d. Which team had the most errors?

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