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For each of the following statements, determine whether the statement is true or false and give a brief justification for your answer. (a) If the augmentation matrix for a system of linear equations has a pivot position in the last column, then the system will have no solution. (b) It is possible for a 4x6 matrix to have rank 5. H-H- -3] (c) If -2 and 4 are basic solutions to a system of linear equations, then |-2 is also a solution.

For each of the following statements, determine whether the statement is true or false and give a brief justification for your answer. (a) If the augmentation matrix for a system of linear equations has a pivot position in the last column, then the system will have no solution. (b) It is possible for a 4x6 matrix to have rank 5. H-H- -3] (c) If -2 and 4 are basic solutions to a system of linear equations, then |-2 is also a solution.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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For each of the following statements, determine whether the statement is true or false and give a brief justification for your answer. (a) If the augmentation matrix for a system of linear equations has a pivot position in the last column, then the system will have no solution. (b) It is possible for a 4x6 matrix to have rank 5. [0 -3] (c) If |-2 and 4 are basic solutions to a system of linear equations, then -2 is also a solution.
Transcribed Image Text:For each of the following statements, determine whether the statement is true or false and give a brief justification for your answer. (a) If the augmentation matrix for a system of linear equations has a pivot position in the last column, then the system will have no solution. (b) It is possible for a 4x6 matrix to have rank 5. [0 -3] (c) If |-2 and 4 are basic solutions to a system of linear equations, then -2 is also a solution.
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