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) A row 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 A row 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) A row 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 A row 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)
A row 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
A row 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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