Question

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution,

Forms of linear equations
ANSWERED
asked 2021-06-14
The reduced row echelon form of the augmented matrix of a system of linear equations is given. Tell whether the system has one solution, no solution, or infinitely many solutions. Write the solutions or, if there is no solution, say the system is inconsistent. [ 1 0 −1 1 0 1 2 1 ]

Answers (1)

2021-06-15
There are no impossible equations, such as (0=1), the system is consistent,
A variable does not have a leading 1 in its corresponding column, so we take it asa parameter ... the system is consistent and has infinitely many solution.
Parameters: \(\displaystyle{x}{3}∈{R}\)
Interpreting row by row as equations.
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