As you read through the following scenarios, be prepared to create matrices and do any operations on those matrices.
Each swimmer is allowed to compete in seven events at a swim meet. Here are their results from the first meet of the season.
Danny got first place 3 times, second place 1 time, third place 2 times, and fourth place 1 time.
John got first place 2 times, second place 3 times, third place 2 times, and he never placed fourth.
Kenny never placed first, but got second place 1 time, third place 4 times, and fourth place 2 times.
Sean got first place 1 time, second place 2 times, third place 3 times, and fourth place 1 time.
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.
The Eagles Aquatics team had 8 people get first place, 9 people get second place, 10 people get third place, and 5 people get fourth place.
The Pirates swim team had 6 people get first place, 7 people get second place, 3 people get third place, and 1 person get fourth place.
Devil Rays Aquatic Club had 9 people get first place, 2 people get second place, 5 people get third place, and 7 people get fourth place.
The Manta Rays swim team had 4 people get first place, 3 people get second place, 2 people get third place , and 1 person get fourth place.
Swimmers who get first place receive 6 points, swimmers who get second place receive 4 points, swimmers who get third place receive 3 points, and swimmer who get fourth place receive 2 points.
1.
Create a matrix for the individual swimmers and name it . What are the dimensions of matrix ? Enter your matrix as part of your answer.