Which of the following statements are TRUE: (1) A system of 3 linear equations in 3 variables always has a unique solution. (2) There is no system of linear equations which has exactly 3 solutions. (3) A system of 3 linear equations in 4 variables never has a unique solution. O (1) and (3) None of the others are correct (3) only O (1) only O (2) only (2) and (3)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 1E: If a system of linear equations has infinitely many solutions, then the system is called _______. If...
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Which of the following statements are TRUE:
(1) A system of 3 linear equations in 3 variables always has a unique solution.
(2) There is no system of linear equations which has exactly 3 solutions.
(3) A system of 3 linear equations in 4 variables never has a unique solution.
O (1) and (3)
None of the others are correct
(3) only
O (1) only
O (2) only
O (2) and (3)
Transcribed Image Text:Which of the following statements are TRUE: (1) A system of 3 linear equations in 3 variables always has a unique solution. (2) There is no system of linear equations which has exactly 3 solutions. (3) A system of 3 linear equations in 4 variables never has a unique solution. O (1) and (3) None of the others are correct (3) only O (1) only O (2) only O (2) and (3)
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