College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 6 - Summary, Review, and Test - Review Exercises - Page 657: 30

Answer

$\begin{bmatrix}1&1&1\\-1&1&-1\\-1&1&-1\end{bmatrix}$

Work Step by Step

The matrix representing $T$ was determined in Exercise 29: $A=\begin{bmatrix}2&2&2\\1&2&2\\1&2&1\end{bmatrix}$ If we desire to change the contrast we add 1 to each element corresponding to the dark grey color and add 1 to each element corresponding to the light grey color. The change matrix is: $B=\begin{bmatrix}1&1&1\\-1&1&-1\\-1&1&-1\end{bmatrix}$
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