Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.2 - Inconsistent and Dependent Systems and Their Applications - Concept and Vocabulary Check - Page 902: 3


Thre are infinitely many solutions

Work Step by Step

Convert the last row in the equation. Translating row 3 of the matrix into equation form, we obtain, $0x+0y+0z=0$ $0=0$ This row does not add any information about the variable. Thus, drop it from the system which can be expressed as $\left[ \left. \begin{matrix} \begin{matrix} 1 & -1 & -2 \\ \end{matrix} \\ \begin{matrix} 0 & 1 & -10 \\ \end{matrix} \\ \end{matrix} \right|\begin{matrix} 2 \\ -1 \\ \end{matrix} \right]$ Convert it in equation, $\begin{align} x-y-2z=2 & \\ y-10=-1 & \\ \end{align}$ Here, we have two equations and three variables so, we have an infinite number of solutions for these equations.
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.