Matrices provide a simpler way to process multiple equations and variables. They are the basis for many types of computer storage and processing.

Initial Post: Consider the following situation and how it might be modelled with matrices. You are the teacher of a class of five students. Throughout the class, you give them four tests with a possible score of 100. Write a word problem for a classmate to solve.

1) Represent the above situation with a matrix (5 x 4) assigning names to each of the five students and a grade (out of 100) to each of their tests.

2) Discuss the matrix operations that can be used determine the class average for each of the four tests.

3) Solve for the average on each of the four tests.

First Response to a Classmate: Review a classmate’s word problem that has not been reviewed and constructively comment on the work. Discuss the matrix operations that can be used to determine the average grade from all four tests for each student. Determine the average grade from all four tests for each student.

Second Response to a Classmate: Review a classmate’s word problem that has not been reviewed and constructively comment on their work. Calculate the average of each test without using matrices. Consider and compare the number of steps involved for a situation with a much larger data set (hundreds, thousands, millions…of students). Further the math conversation by explaining to your classmate how computers might use matrices to process and store data in at least one well composed paragraph. For all references used, please cite them in APA format.

Discussion Requirements

Throughout this course, you will respond to other people’s opinions and comments by participating in the Discussion Boards. It is helpful to complete your Reading prior to answering the Discussion topics.

The complete Discussion topics can be found by clicking on the Discussion content item in the menu to the left under this unit. Be sure to answer one of the provided questions, comment on at least two of your classmates' posts, and engage one another in discussion.

Discussion Board grading rubrics include points for posts which “…contribute to the quality of the discussion.” In order to earn full credit, students are strongly encouraged to post by Saturday night so that posts will engage other students and provide a quality contribution. Be sure your post is grammatically correct, has been spell checked, and you have fully answered the question. A response to a classmates’ post must be substantive; posts such as “Great job” or “I agree” will not be counted as a response. See the rubric for further details. Provide citations for any websites referred to in your posts and summarize in your own words any information shared in your post.

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