Question

# Determine whether the statement is true or false. Justify your answer. When using Gaussian elimination to solve a system of linear equations, you may

Linear algebra
Determine whether the statement is true or false. Justify your answer. When using Gaussian elimination to solve a system of linear equations, you may conclude that the system is inconsistent before you complete the process of rewriting the augmented matrix in row-echelon form.

2021-06-29

True

An example would be:

$$\begin{bmatrix}1 & 2&1&:&3 \\0 & 1&-2&:&7\\0 &0 &0&:&1\end{bmatrix}$$

where the last row is a false statement since $$0\neq1$$