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 - Page 10: 6

Answer

Replacement; Scaling

Work Step by Step

The first row operation to reduce this matrix is Replacement, in which we sum each entry of the first row by the corresponding entry in the second row multiplied by a factor of 3. This removes the (1, 2) coordinate value of -6. Then, we scale the second row by a factor of $\frac{1}{2} $ so the entry along the diagonal can be equal to one; that is, the (2, 2) entry goes from 2 to 1.
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