SPORTS A high-school football team has played four games this season. Matrix S shows the number of touchdowns, extra points, and field goals scored in each game. Use matrix S and the point-values matrix, P, to answer parts a-c. Extra Field Point Touchdowns points goals Game 1 [2 Game 2 | 4 Game 3| 3 Game 4 5 values 2 Touchdowns 4 3 3 Extra points 1- P Field goals [3 a. Find the product SP. What is the total number of points scored in game 3? in all four games? b. Find the difference between the number of points scored in games 2 and 3. In which of these two games were the most points scored? c. Suppose that matrix S included the information for all nine games of the season. How many rows and columns would the new product SP have?
SPORTS A high-school football team has played four games this season. Matrix S shows the number of touchdowns, extra points, and field goals scored in each game. Use matrix S and the point-values matrix, P, to answer parts a-c. Extra Field Point Touchdowns points goals Game 1 [2 Game 2 | 4 Game 3| 3 Game 4 5 values 2 Touchdowns 4 3 3 Extra points 1- P Field goals [3 a. Find the product SP. What is the total number of points scored in game 3? in all four games? b. Find the difference between the number of points scored in games 2 and 3. In which of these two games were the most points scored? c. Suppose that matrix S included the information for all nine games of the season. How many rows and columns would the new product SP have?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:25. SPORTS A high-school football team has played four games this season.
Matrix S shows the number of touchdowns, extra points, and field goals
scored in each game. Use matrix S and the point-values matrix, P, to
answer parts a-c.
Extra
Field
Point
Touchdowns points
Game 1 [2
Game 2 4
Game 3 3
Game 4 [5
goals
values
1
Touchdowns [6
Extra points 1= P
Field goals [3
4
1
3
4
2
a. Find the product SP. What is the total number of points scored in
game 3? in all four games?
b. Find the difference between the number of points scored in games
2 and 3. In which of these two games were the most points scored?
c. Suppose that matrix S included the information for all nine games of
the season. How many rows and columns would the new product
SP have?
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