Question

DeVron collected data for five basketball players in one game and arranged it into matrices as shown.

Free throw points: A=[ 2 3 1 10 6 ]
Total Points: B=[ 8 7 5 18 20]
Fouls on: C=[ 3 2 1 5 4]
Fouls by: D=[ 2 3 0 4 1]
Which of the following matrix operations would give DeVron a matrix containing data about non-free throw points scored by each player?
a-A + B
b-A – B
c-B – A

Answer 1

To calculate the non-free throw points scored by each player, DeVron should subtract the free throw points matrix (A) from the total points matrix (B), which is indicated as option c-B − A.

Step-by-step explanation:

The student's question asks which matrix operation would give DeVron a matrix containing data about non-free throw points scored by each player. The matrices represent free throw points (A), total points (B), fouls on (C), and fouls by (D). The required operation to find the non-free throw points would be subtracting the free throw points from the total points matrix, which is represented as B − A. The result of this subtraction for each player will give us the points scored from actions other than free throws. Here is the step-by-step explanation:

• Identify matrices A and B: A represents the free throw points and B represents the total points scored by each player.
• Understand what non-free throw points mean: They are the points scored by players that are not from free throws.
• Perform the matrix subtraction B − A: Subtract each element of matrix A from the corresponding element in matrix B. This will remove the free throw points from the total points, thus leaving us with only non-free throw points for each player.

The correct alternative for DeVron to calculate non-free throw points is c-B − A.