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)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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