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 (S1, .., Sn) that makes each equation in the system a true statement when the values s1, ., S, are substituted for X1, .., X, respectively. Choose the correct answer below. • A. The statement is true. It is the definition of the solution set of a linear system. • B. 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. • C. 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. • D. The statement is false. The solution set of such a system consists of all possible orderings of the numbers s,, ..., Sn.
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 (S1, .., Sn) that makes each equation in the system a true statement when the values s1, ., S, are substituted for X1, .., X, respectively. Choose the correct answer below. • A. The statement is true. It is the definition of the solution set of a linear system. • B. 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. • C. 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. • D. The statement is false. The solution set of such a system consists of all possible orderings of the numbers s,, ..., Sn.
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
s true or false. Justify the answer.
The solution set of a linear system involving variables x1, ., X, is a list of numbers (S1,
So) that makes each equation in the system a true statement when the values s1, ., S, are substituted for X1,
, Xn, respectively.
Choose the correct answer below.
• A. The statement is true. It is the definition of the solution set of a linear system.
B. 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.
• C. 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.
O D. The statement is false. The solution set of such a system consists of all possible orderings of the numbers s1, .., Sn.
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The solution set of a linear system involving variables is a list of numbers that makes each equation in the system a true statement when the values are substitued for respectively.
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