Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.2 Systems of Linear Equations: Matrices - 11.2 Assess Your Understanding - Page 731: 30

Answer

Inconsistent No solution

Work Step by Step

We are given the reduced row echelon form of a system of linear equations: $\begin{bmatrix}1&0&0&|&0\\0&1&0&|&0\\0&0&0&|&2\end{bmatrix}$ Write the system of equations corresponding to the given matrix: $\begin{cases} 1x+0y+0z=0\\ 0x+1y+0z=0\\ 0x+0y+0z=2 \end{cases}$ $\begin{cases} x=0\\ y=0\\ 0=2 \end{cases}$ Because the reduced row echelon form has a row with only zeros at the left of the bar and a nonzero element at the right of the bar, the system is inconsistent, and it has no solution.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.