## Elementary Linear Algebra 7th Edition

Published by Cengage Learning

# Chapter 4 - Vector Spaces - 4.3 Subspaces of Vector Spaces - 4.3 Exercises - Page 167: 36

#### 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.

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