Determine whether the statement below is true or false. Justify the answer. The solution set of a linear system involving variables X₁ ..., xₙ is a list of numbers (s₁ ..., sₙ) that makes each equation in the system a true statement when the values S₁, ..., S₁ₙ are substituted for X₁ ..., Xₙ respectively. Choose the correct answer below.
A. The statement is false. The given description is of a single solution of such a system. The solution set of the system consists of all possible solutions.
B. The statement is true. The solution set of a linear system will have the same number of elements as the list of the variables in the system.
C. The statement is true. It is the definition of the solution set of a linear system.
D. The statement is false. The solution set of such a system consists of all possible orderings of the numbers S₁ ...,Sₙ