Mark each statement True or False, and justify your answer.  (T/F) Every elementary row operation is reversible. (T/F) Elementary row operations on an augmented matrix never change the solution set of the associated linear system. (T/F) A 5×6 matrix has six rows.

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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Mark each statement True or False, and justify your answer. 

(T/F) Every elementary row operation is reversible.

(T/F) Elementary row operations on an augmented matrix never change the solution set of the associated linear system.

(T/F) A 5×6 matrix has six rows.

(T/F) Two matrices are row equivalent if they have the same number of rows.

(T/F) 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,…,sn  are substituted for x1,…,xn, respectively.

(T/F) An inconsistent system has more than one solution.

(T/F) Two fundamental questions about a linear system involve existence and uniqueness.

(T/F) Two linear systems are equivalent if they have the same solution set.

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