Linear Algebra and Its Applications (5th Edition)

by Lay, David C.; Lay, Steven R.; McDonald, Judi J.

Published by Pearson

ISBN 10: 032198238X

ISBN 13: 978-0-32198-238-4

Chapter 1 - Linear Equations in Linear Algebra - 1.4 Exercises - Page 42: 34

Answer

See solution

Work Step by Step

If the equation has a unique solution, there cannot be any non pivot columns, meaning each column has a pivot. But because the matrix has 3 rows and 3 columns, this means each row must have a pivot, which means the columns of A must span $R^3$

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