Question

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.

Answer 1

B and C

Explanation:

These are the correct answers on ed-genuity, hope this helps! :)

Answer 2

Answer : B and C

Explanation :

firstly, we should know the definition of square matrix. It is a matrix in which number of rows is equal to number of columns

In case of A : it is given that several number of airlines and several number of columns

if we consider the case of more number of airlines say 5 and we have only 4 cities that these 5 airlines offer services to. Then it will not form a square matrix

NOTE: it would have formed the square matrix if there would have been equal number of airlines and cities.

In case of B: in this case we will have equal number of members in each team.

In case of C : in this case we are given with equal number of equations and unknowns

In case of D: in this case we have augmented matrix which is formed by appending the column of the matrices given so it can never form a square matrix.