Download 1-8 organizing data in matrices

WARM UP
List all the places you have seen data displayed in the form of
a table or chart with rows and columns.
DEFINITION
A matrix is a rectangular arrangement of numbers.
(Arranged in rows & columns, inside brackets)
This matrix has 3 rows and 2 columns, so it is a 3 x 2
matrix. Each item in a matrix is an entry.
What entry is in row 1, column 2?
In row 2, column 1?
EXAMPLE
Make your own 2 x 3 matrix.
EQUAL MATRICES…
Two matrices are equal if corresponding entries are equal.
corresponding entries
𝟎. 𝟓
𝟑
𝟖
𝟏
𝟐
𝟎. 𝟑𝟕𝟓
𝟏
𝟒
𝟎. 𝟒
𝟎. 𝟐𝟓
𝟐
𝟓
Are the two matrices equal?
SUBTRACT THE TWO MATRICES
𝟕
𝟕 −𝟒 𝟏𝟏
𝟓 𝟗
−
𝟔 𝟓 −𝟏
𝟖 −𝟕 −𝟑
What size are the matrices?
You can add
or subtract
matrices if
they are the
same size.
ADD THE TWO MATRICES
𝟕
𝟕 −𝟒 𝟏𝟏
𝟓 𝟗
+
𝟔 𝟓 −𝟏
𝟖 −𝟕 −𝟑
You can add
or subtract
matrices if
they are the
same size.
WORK WITH A PARTNER…
Write each table as a matrix. Then add the matrices to find the total
of endangered and threatened species.
Endangered Species
Species
US only
US & Foreign
Foreign only
Total
Mammals
36
20
251
307
Birds
57
16
153
226
Reptiles
8
8
63
79
Amphibians
6
0
8
14
Fishes
60
3
11
74
Threatened Species
Species
US only
US & Foreign
Foreign only
Total
Mammals
5
4
22
31
Birds
8
9
0
17
Reptiles
15
4
14
33
Amphibians
4
1
0
5
Fishes
32
6
0
38
SUBTRACT THE TWO MATRICES
−𝟔 𝟖 𝟏𝟏
𝟕 −𝟓 −𝟐
𝟐 𝟓 −𝟑 − 𝟏𝟏 𝟑 −𝟏
𝟒
𝟏 𝟒 𝟕
𝟖
𝟔
What would happen if the 2nd matrix
was a 3 x 4 matrix?
You can add
or subtract
matrices if
they are the
same size.
ADD THE TWO MATRICES
−𝟔 𝟖 𝟏𝟏
𝟕 −𝟓 −𝟐
𝟐 𝟓 −𝟑 + 𝟏𝟏 𝟑 −𝟏
𝟒
𝟏 𝟒 𝟕
𝟖
𝟔
You can add
or subtract
matrices if
they are the
same size.
WRITE THE TABLES AS MATRICES, THEN ADD.
Week 1
Small
Medium
Large
Hamburgers
420
404
352
French Fries
392
320
308
Shakes
187
159
152
Week 2
Small
Medium
Large
Hamburgers
385
315
367
French Fries
439
406
302
Shakes
220
201
165
LASTLY…
Create two 3 x 2 matrices then subtract the two matrices.
HOMEWORK
Pg 41-43 #2–14 even, 18