Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 1 - Systems of Linear Equations - Review Exercises: 35

Answer

Inconsistent.

Work Step by Step

Write the augmented matrix of the system of linear equations. $ \begin{bmatrix} 1 & 2 & 6 & 1\\ 2 & 5 & 15 & 4\\ 3 & 1 & 3 & -6 \end{bmatrix} $ Add -2 times the 1st row to the 2nd row to produce a new 2nd row. Add -3 times the 1st row to the 3rd row to produce a new 3rd row. $ \begin{bmatrix} 1 & 2 & 6 & 1\\ 0 & 1 & 3 & 2\\ 0& -5 & -15 & -9 \end{bmatrix} $ Add 5 times the 2nd row to the 3rd row to produce a new 3rd row. $ \begin{bmatrix} 1 & 2 & 6 & 1\\ 0 & 1 & 3 & 2\\ 0& 0 & 0 & 1 \end{bmatrix} $ Use back-substitution to find the solution. $0z=1 \rightarrow $ this equation is not possible $\rightarrow$ the system 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.