Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.1 Exercises - Page 10: 10

Answer

The solution set is (-3,-5,6,-3).

Work Step by Step

Starting from our original matrix: 1 -2 0 3 -2 0 1 0 -4 7 0 0 1 0 6 0 0 0 1 -3 We do the following operations: Add 4 times row 4 to row 2 1 -2 0 3 -2 0 1 0 0 -5 0 0 1 0 6 0 0 0 1 -3 Subtract 3 times row 4 from row 1 1 -2 0 0 7 0 1 0 0 -5 0 0 1 0 6 0 0 0 1 -3 Add 2 times row 2 from row 1 1 0 0 0 -3 0 1 0 0 -5 0 0 1 0 6 0 0 0 1 -3
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