As you read through the following scenarios,be prepared to create matrices and do anyoperations on those matrices.Each swimmer is allowed to compete inseven events at a swim meet. Here are theirresults from the first meet of the season.•Danny got first place 3 times, second place 1time, third place 2 times, and fourth place 1time.•John got first place 2 times, second place 3times, third place 2 times, and he neverplaced fourth.•Kenny never placed first, but got secondplace 1 time, third place 4 times, and fourthplace 2 times.•Sean got first place 1 time, second place 2times, third place 3 times, and fourth place 1time.The club teams are waiting to see whichtrophy they will be getting. Their trophy isbased on the amount of points each teamreceived.•The Eagles Aquatics team had 8 people getfirst place, 9 people get second place, 10people get third place, and 5 people getfourth place.•The Pirates swim team had 6 people get firstplace, 7 people get second place, 3 peopleget third place, and 1 person get fourth place.•Devil Rays Aquatic Club had 9 people getfirst place, 2 people get second place, 5people get third place, and 7 people getfourth place.•The Manta Rays swim team had 4 peopleget first place, 3 people get second place, 2people get third place, and 1 person getfourth place.Swimmers who get first place receive 6points, swimmers who get second placereceive 4 points, swimmers who get thirdplace receive 3 points, and swimmer who getfourth place receive 2 points.Questions:1)Create a matrix for the individual swimmersand name it A. What are the dimensions ofmatrix A? Enter your matrix as part of youranswer.2) Create a matrix for the teams and name itB. What are the dimensions of matrix B?Enter your matrix as part of your answer.3) Create a matrix for the points awarded tosomeone who wins first place, someone whowins second place, someone who wins thirdplace, and someone who wins fourth place.Name the matrix C. What are thedimensions of matrix C? Enter your matrix aspart of your answer.4) If first place receives 6 points, secondplace receives 4 points, third place receives3 points, and fourth place receives 2 points,which swimmer got the most points?5) If first place receives 6 points, secondplace receives 4 points, third place receives3 points, and fourth place receives 2 points,which team won the trophy?6) Does the order in which you multiply thematrices affect your results? Explain.7) At this point in the season, there have now been two swim meets. Danny, John, Kenny,and Sean each had the same results in thesecond meet as they did in the first meet,represented by matrix A from the first question.8) Using the matrix that you found in theprevious question, explain what the secondcolumn of the matrix represents and whateach value in that column represents.9) The top three teams qualified to competeat the state competition. At the statecompetition, however, scoring is donedifferently than at the other meets. Use thefollowing information to create a system ofequations where I is the points for first place,g is the points for second place, and z is thepoints for third place.Results:*Eagles got 5 first-place, 3 second-place, and4 third-place finishes with a team total of 67points.•Pirates got 2 first-place, 5 second-place, and5 third-place finishes with a team total of 56.• Devil Rays got 6 first-place, 3 second-placeand 3 third-place finishes with a team total of72.We can't believe the Devil Rays came frombehind and won! We need to determine howmany points were awarded for each place.Use Cramer's rule or inverse method to getthe answers. Explain your process.