matrices creating matrices and solving them

Question Description

Each swimmer is allowed to compete in 7 events at a swim meet. Danny got first place 3 times, second place 1 time, third 2 times, and fourth once. John got first 2 times, second place 3 times, third twice, and didn’t place fourth. Kenny didn’t place first, but was second once, third four times, and fourth two times. Sean placed first once, second twice, third three times, and fourth once. 

The club teams are waiting to see which trophy they will be getting. Their trophy is based on the amount of points each team received. Eagles Aquatics team had 8 people get first place, 9 in second, 10 in third, and 5 in fourth. The Pirates swim team had 6 people get first, 7 in second, 3 in third, and 1 in fourth. Devil Rays Aquatic Club had 9 people get first, 2 in second, 5 in third, and 7 in fourth. The Manta Rays swim team had 4 first place winners, 3 second, 2 third and 1 fourth. 

1. First place receives 6 points, second 4, third 3, and fourth 2. Which swimmer got the most points? Which team won the trophy? Show how you found that out.
2. Does it matter in what order you multiply the matrices? Explain.
3. If you were to find out the total number of points scored by individuals and teams, how would you go about doing that?
4. Look back at what you did for questions 1 and 2. How does this relate to your understanding of vectors?
5. Come prepared to share another example of a problem in the real world that can be solved using matrices.

Final Answer

shyamnair3 (279)
UC Berkeley

Thanks for the help.

Outstanding. Studypool always delivers quality work.

Tutor was very helpful and took the time to explain concepts to me. Very responsive, managed to get replies within the hour.


Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors