How would one write a matrix from the following set of data? Quite frankly, I don't understand the subject in the least and I'd appreciate any help that you can give. Thank you! ~~~~~ 6. Answer...

How would one write a matrix from the following set of data? 

Quite frankly, I don't understand the subject in the least and I'd appreciate any help that you can give. Thank you!

~~~~~

6. Answer the following 3 part question to the best of your ability:

A high school basketball coach helps the four seniors on the team set goals for their season for each game. The seniors' goals are below:

Write a matrix that represents the game goals for the four seniors:

Will: 2 3-pointers, 10 free throws, 6 steals

Colin: 4 3-pointers, 8 free throws, 3 steals

Larry: 3 3-pointers, 4 free throws, 2 steals

Timmy: 6 3-pointers, 2 free throws, 1 steal

 

a) Write a matrix that represents the game goals for the four seniors.

b) If there were 12 games in the season, write a matrix that represents their season goals.

c) How did you change your matrix in part "a" to part "b"?

1 Answer | Add Yours

embizze's profile pic

embizze | High School Teacher | (Level 1) Educator Emeritus

Posted on

The matrix is just a mathematical way of writing the table you provided:

`A=[(2,10,6),(4,8,3),(3,4,2),(6,2,1)]`

The rows correspond to the players, and the columns to the number of 3pt shots, free throws, and steals.

For a 12 game season, you would multiply all entries by 12. (Will should make 24 3pt shots over the course of 12 games, etc...)

This is represented by `12A=12[(2,10,6),(4,8,3),(3,4,2),(6,2,1)]=[(24,120,72),(48,96,36),(36,48,24),(72,24,12)]`

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