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

Vectors and spaces
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asked 2021-06-28
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.

Expert Answers (1)

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 \(0\neq1\)

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