Answer
is not a vector subspace.
Work Step by Step
The set of all $n\times n$ matrices whose trace is nonzero is not a vector subspace. It does not contain the zero vector.
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 4 - Vector Spaces - 4.3 Subspaces of Vector Spaces - 4.3 Exercises - Page 167: 36
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