# Determine whether this system of linear equations is consistent and, if so, find its general solution. Write the solution in vector form.

nicekikah 2021-09-20 Answered

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.
Write the solution in vector form. $$\begin{bmatrix}1 & -3 & 2 & 0 & 4 & 0 \\0 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 0 & 0 & 0\end{bmatrix}$$

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## Expert Answer

Jozlyn
Answered 2021-09-21 Author has 13130 answers
x1-3x2+2x3+4x5=0
0=1
0=0
The augmented matrix contains a row in which the only nonzero entry appears in the last column. Therefore, this system of equations must be inconsistent.

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