Determine whether the statement below is true or false. Justify the answer. The solution set of a linear system involving variables X₁... X is a list of numbers ($₁.-... Sn) that makes each equation in the system Xn a true statement when the values S₁,..., s are substituted for X₁, ... Xn, respectively. O A. 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. OB. The statement is false. The solution set of such a system consists of all possible orderings of the numbers $₁₁... Sn. OC. The statement is true. It is the definition of the solution set of a linear system. O D. The statement is false. The given description is of a single solution of such a system. The solution set of the system consists of all possible solutions.
Determine whether the statement below is true or false. Justify the answer. The solution set of a linear system involving variables X₁... X is a list of numbers ($₁.-... Sn) that makes each equation in the system Xn a true statement when the values S₁,..., s are substituted for X₁, ... Xn, respectively. O A. 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. OB. The statement is false. The solution set of such a system consists of all possible orderings of the numbers $₁₁... Sn. OC. The statement is true. It is the definition of the solution set of a linear system. O D. The statement is false. The given description is of a single solution of such a system. The solution set of the system consists of all possible solutions.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Determine whether the statement below is true or false. Justify the answer.
---
The solution set of a linear system involving variables X₁... X is a list of numbers ($₁.-... Sn) that makes each equation in the system
Xn
a true statement when the values $₁,.... S are substituted for X₁, X₁, respectively.
****
O A. 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.
OB. The statement is false. The solution set of such a system consists of all possible orderings of the numbers $₁.... Sn.
OC. The statement is true. It is the definition of the solution set of a linear system.
O D. 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.
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