Algebra 1 - MathnMind

13-2
NAME ______________________________________________ DATE ____________ PERIOD _____
Practice
Introduction to Matrices
⎡4
If A ⎢ 7
⎣ 8
1
5
2
6⎤ ⎡ 12
9⎥,
B ⎢15
3 ⎦ ⎣ 11
9
20
0
5⎤ ⎡25
8 ⎥,
C ⎢ 86
14 ⎦ ⎣ 73
67 ⎤ ⎡ 48
49 ⎥,and
D ⎢ 7
50 ⎦ ⎣38
9 ⎤
52⎥,
35 ⎦
find each sum, difference, or product. If the sum or difference does not exist,
write impossible.
1. A B 2. C D 3. D C 4. B C
5. 4A 6. 3D
7. C 2D 8. 3B 5A
9. What is the size of matrix C above?
10. In matrix A above, what is the location of the number 2?
11. Identify the element in row 2, column 3 in matrix B above.
SCHOOL For Exercises 12–15, use the following table that describes the percent of
high school students participating in organized physical activities at school.
Enrolled in Phys. Ed. Class Played on a Sports Team
Grade 9 10 11 12 9 10 11 12
Male 82.3 65.3 44.6 43.8 63.9 62.3 58.8 60.7
Female 75.6 56.6 36.8 29.4 53.4 50.9 45.8 42.3
Source: Centers for Disease Control and Prevention, 2000
12. If M
⎡82.3 65.3 44.6 43.8⎤
⎣63.9 62.3 58.8 60.7⎦
is a matrix
representing male participation in physical
education classes in row 1, and on a sports team
in row 2, create a similar matrix F for females.
13. Calculate D M F.
14. What does matrix D represent?
15. What is indicated by the element in row 1, column 3 of matrix D?
© Glencoe/McGraw-Hill 790 Glencoe Algebra 1