Answer
$2$
Work Step by Step
According to the Sum of Rank and Nullity Theorem (the sum of the rank and the nullity of $T$ equal the dimension of the domain),
$Nullity(T)=dim(\rm I\!R^4)-rank(T)=4-2=2$.
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 6 - Linear Transformations - 6.2 The Kernel and Range of a Linear Transformation - 6.2 Exercises - Page 312: 39
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