Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced using row reduction to its row echelon form, which of the following are true? (select all that apply) Arow in which each element is zero implies that there are infinite solutions to the system of equations O A row in which each element except for the right-most is zero implies that there are infinite solutions to the system of equations A row in which each element is zero implies that there is one unique solution to the system of equations Arow in which each element except for the right-most is zero implies that there are no solutions to the system of equations
Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced using row reduction to its row echelon form, which of the following are true? (select all that apply) Arow in which each element is zero implies that there are infinite solutions to the system of equations O A row in which each element except for the right-most is zero implies that there are infinite solutions to the system of equations A row in which each element is zero implies that there is one unique solution to the system of equations Arow in which each element except for the right-most is zero implies that there are no solutions to the system of equations
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 93E
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Transcribed Image Text:Consider a system of 3 equations with 3 unknowns. If the augmented matrix has been correctly reduced using row reduction to its row echelon
form, which of the following are true? (select all that apply)
Arow in which each element is zero implies that there are infinite solutions to the system of equations
A row in which each element except for the right-most is zero implies that there are infinite solutions to the system of equations
A row in which each element is zero implies that there is one unique solution to the system of equations
Arow in which each element except for the right-most is zero implies that there are no solutions to the system of equations
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