Determine which of the following statements are true: (1) If a linear system has 7 equations and 7 variables and it satisfies that the rank of its coefficient matrix is equal to 7, then the system has a unique solution. (2) If a linear system is consistent and it has fewer variables than equations, then the system has a unique solution. Only (1) Only (2) Both of them None of them
Determine which of the following statements are true: (1) If a linear system has 7 equations and 7 variables and it satisfies that the rank of its coefficient matrix is equal to 7, then the system has a unique solution. (2) If a linear system is consistent and it has fewer variables than equations, then the system has a unique solution. Only (1) Only (2) Both of them None of them
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 100E
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![Determine which of the following statements are true:
(1) If a linear system has 7 equations and 7 variables and it satisfies that the rank of its coefficient matrix is equal to 7, then the system has a
unique solution.
(2) If a linear system is consistent and it has fewer variables than equations, then the system has a unique solution.
Only (1)
Only (2)
Both of them
None of them](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F09108a0e-9564-4581-a5dd-b84f0702a810%2Fbeff0b3e-3ec8-4e51-afe3-83e55f8d8669%2F5h4o20s_processed.png&w=3840&q=75)
Transcribed Image Text:Determine which of the following statements are true:
(1) If a linear system has 7 equations and 7 variables and it satisfies that the rank of its coefficient matrix is equal to 7, then the system has a
unique solution.
(2) If a linear system is consistent and it has fewer variables than equations, then the system has a unique solution.
Only (1)
Only (2)
Both of them
None of them
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