which of the following sets of data would you likely represent with a square matrix? check all that apply. a…

which of the following sets of data would you likely represent with a square matrix? check all that apply. a travel company wants to use a matrix to represent the number of flights of several different airlines to several different cities. a tennis club has a tournament in which each member plays every other member, and represents the scores in a matrix. a coefficient matrix is used to represent a linear system with 3 equations and 3 unknowns. the augmented matrix is used to represent a linear system with 3 equations and 3 unknowns. done

which of the following sets of data would you likely represent with a square matrix? check all that apply. a travel company wants to use a matrix to represent the number of flights of several different airlines to several different cities. a tennis club has a tournament in which each member plays every other member, and represents the scores in a matrix. a coefficient matrix is used to represent a linear system with 3 equations and 3 unknowns. the augmented matrix is used to represent a linear system with 3 equations and 3 unknowns. done

Answer

Explanation:

Step1: Analyze first option

Rows could be airlines, columns cities. Usually different number of airlines and cities, so not square matrix.

Step2: Analyze second option

If there are $n$ members in the tennis - club, the matrix representing scores will be an $n\times n$ matrix since each member plays every other member. It is a square matrix.

Step3: Analyze third option

For a linear system with $n$ equations and $n$ unknowns, the coefficient matrix has $n$ rows (number of equations) and $n$ columns (number of unknowns). Here $n = 3$, so it is a square matrix.

Step4: Analyze fourth option

The augmented matrix for a linear system with $n$ equations and $n$ unknowns has $n$ rows and $n + 1$ columns (because of the constants on the right - hand side of the equations). So it is not a square matrix.

Answer:

B. A tennis club has a tournament in which each member plays every other member, and represents the scores in a matrix. C. A coefficient matrix is used to represent a linear system with 3 equations and 3 unknowns.