Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 0-32198-238-X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.1 Exercises: 7

Answer

Row three has no solution therefore the matrix is inconsistent.

Work Step by Step

The long form of row three in the given matrix is expressed by the following: $0x_{1} + 0x_{2} + 0x_{3} = 1 $ For any values of $x_{1},x_{2},x_{3}$, the following result occurs: $0\times x_{1} + 0\times x_{2} + 0\times x_{3} = 1 $ $0+0+0=1$ $0=1$, which is false As it is not possible to find any values to make the previous statement true, there is no solution thus making the system inconsistent.
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.