Which of the following sets of data would you likely represent with a square matrix?

A) A shoe salesperson wants to use an augmented matrix to represent the quantity of children's shoes and adult shoes sold at his store for two days.

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

C) A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.

D) A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.

B

Step-by-step explanation:

E2020

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

Step-by-step explanation:

A square matrix is where the number of rows is equal to the number of columns like order 2x2, 3x3, 4x4, 5x5 etc.

Given options are:-

A) A shoe salesperson wants to use an augmented matrix to represent the quantity of children's shoes and adult shoes sold at his store for two days.

It is 2x2 times 2x1 = 2x1 matrix.

B) A racquetball club has a tournament where each member plays every other member and represents the scores in a matrix.

It is 6x1 times 1x6 = 6x6 matrix.

C) A student wants to write a coefficient matrix representing a linear system with two equations and three unknowns.

It is 2x3 times 3x1 = 2x1 matrix

D) A teacher wants to write an augmented matrix representing a linear system with four equations and four unknowns.

It is 4x4 times 4x1 = 4x1 matrix.

Hence option B is correct.