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# Real World Application of Matrices

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## Roberto Yrigollen

on 16 June 2011

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#### Transcript of Real World Application of Matrices

What are Matrices and What are some
of the Components They use? Vocabulary Matrix- An arrangement of numbers in dimensions
Dimensions-The "m" and "n" values of a matrix
(defined with rows and columns)
Elements-The terms inside of a matrix
Scalar-A rational number used to multiply a matrix How Can Matrices be used in a Real Life Situation? Matrices are simply a form of organizing information. Most commonly used in business and trade, matrices offer an easy way to read and interpret data. Example of a Matrix: Thursday
Friday
Saturday
Sunday
Monday
Tuesday
Wednesday 3 2 4
1 2 4
4 5 3
0 0 0
1 2 5
3 4 1
2 1 4 Number of Pets Adopted Taking Inventory How can businesses, such as
grocery stores, keep an organized,
easy-to-use, and simple way of
keeping track of stocks? Through Matrices!! The following matrix (A) shows the
different stocks that the grocery has
along with how much of the stock is
in their inventory Eggs
Milk
Butter
Bacon
Cheese
Cream
Soup
Bananas
Apple
Lettuce
Cereal
Sugar
Salt
Pepper
Vinegar
Mayonaise
Carrots 52 48 53 45 51 61 54
78 84 74 75 76 78 74
32 36 45 32 32 31 34
85 84 86 82 78 89 87
45 45 41 42 45 47 49
78 61 64 65 68 69 63
25 23 21 24 27 28 29
12 11 10 14 15 18 17
62 24 25 14 78 55 65
52 48 53 45 51 61 54
78 84 74 75 76 78 74
32 36 45 32 32 31 34
85 84 86 82 78 89 87
45 45 41 42 45 47 49
78 61 64 65 68 69 63
25 23 21 24 27 28 29
12 11 10 14 15 18 17
62 24 25 14 78 55 65
51 54 52 56 54 51 83 S M T W T F S This new matrix (B) shows the amount of different stocks that were sold during each day of the week Eggs
Milk
Butter
Bacon
Cheese
Cream
Soup
Bananas
Apple
Lettuce
Cereal
Sugar
Salt
Pepper
Vinegar
Mayonaise
Carrots S M T W T F S 12 14 15 16 13 12 12
12 15 17 18 19 13 12
4 5 7 8 9 2 1 3 16 15 17 18 16 13 14
15 16 16 15 15 17 13
18 17 19 15 14 14 19
14 19 13 17 18 12 13
8 9 6 3 4 7 8 8
15 17 16 18 17 15 12
13 13 12 17 19 17 17
12 14 15 16 13 12 12
12 15 17 18 19 13 12
15 14 13 17 16 17 18
16 15 17 18 16 13 14
7 4 6 2 5 8 5 5
18 17 19 15 14 14 19
14 19 13 17 18 12 13
17 13 19 16 14 13 14
15 17 16 18 17 15 12 In order to find various things such as how many stocks were left over, what are the least selling stocks, what are the most selling stocks, etc., we can manipulate the two matrices by subtracting them. The new matrix (C) looks like this. 40 34 38 16 38 43 35
66 64 68 61 54 61 67
28 31 35 34 15 37 34
19 35 38 16 38 25 35
66 64 68 25 54 61 67
28 31 35 34 15 45 34
14 37 38 16 38 43 35
66 64 68 27 54 61 67
28 31 35 34 15 52 34
12 39 38 16 38 43 35
66 64 68 61 54 61 67
32 31 35 19 15 37 34
40 34 38 16 38 43 35
27 64 68 61 54 12 67
28 31 35 34 15 37 34
23 41 38 16 38 43 35
66 64 68 642 54 19 67
12 31 35 34 15 22 34
66 64 68 25 54 61 67 S M T W T F S Eggs
Milk
Butter
Bacon
Cheese
Cream
Soup
Bananas
Apple
Lettuce
Cereal
Sugar
Salt
Pepper
Vinegar
Mayonaise
Carrots (A)+(B)=C 52 48 53 45 51 61 54
78 84 74 75 76 78 74
32 36 45 32 32 31 34
85 84 86 82 78 89 87
45 45 41 42 45 47 49
78 61 64 65 68 69 63
25 23 21 24 27 28 29
12 11 10 14 15 18 17
62 24 25 14 78 55 65
52 48 53 45 51 61 54
78 84 74 75 76 78 74
32 36 45 32 32 31 34
85 84 86 82 78 89 87
45 45 41 42 45 47 49
78 61 64 65 68 69 63
25 23 21 24 27 28 29
12 11 10 14 15 18 17
62 24 25 14 78 55 65
51 54 52 56 54 51 83 12 14 15 16 13 12 12
12 15 17 18 19 13 12
4 5 7 8 9 2 1 3
16 15 17 18 16 13 14
15 16 16 15 15 17 13
18 17 19 15 14 14 19
14 19 13 17 18 12 13
8 9 6 3 4 7 8 8
15 17 16 18 17 15 12
13 13 12 17 19 17 17
12 14 15 16 13 12 12
12 15 17 18 19 13 12
15 14 13 17 16 17 18
16 15 17 18 16 13 14
7 4 6 2 5 8 5 5
18 17 19 15 14 14 19
14 19 13 17 18 12 13
17 13 19 16 14 13 14
15 17 16 18 17 15 12 - = Matrices are both helpful and resourceful when it comes to stocks and trade. They can help determine the amount of stock you have currently, how many you have left, how many you have sold, and countless other things But! Matrices are used in many other places such as... In conclusion... Population!! Countries, such as the United States, can use
matrices to determine the population of a certain region within the country. Like this! Georgia Utah South Carolina Virginia Maine New York Population in Year 2005

2006

2007

2008

2009

2010 9.04

9.31

9.52

9.58

9.71

9.96 2.56

2.71

2.74

2.81

2.92

3.01 3.92

4.21

4.35

4.52

4.61

4.82 7.10

7.24

7.35

7.60

7.71

7.82 .8

1.1

1.2

1.31

1.42

1.52 18.81

19.12

19.35

19.79

19.82

19.99 State (In Millions) Although only two were mentioned, there are countless ways matrices can be used in real life. Like mentioned before, they organize information so it can be read and manipulated easily. These underestimated forms of organization, usually compared to making a table or a chart, are way more flexible. You can multiply them, subtract them, add them, and several more. In conclusion, matrices are all around us and help us in countless ways, whether we notice them or not. Matrices and Real World Applications By: Roberto Yrigollen
& Juleeus Hi
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