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 - 1.4 Exercises - Page 41: 22

Answer

Row reduce the matrix [v1, v2, v3] 0 0 4 = -2 8 -5 0 -3 -1 = 0 -3 -1 -2 8 -5 = 0 0 4

Work Step by Step

the matrix [v1, v2, v3] has a pivot in each row, so the columns of the matrix span R^3, by theorem 4. that is, {v1, v2, v3} span R^3
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