The trace of an n n matrix A Mnn is defined to be the sum

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The trace of an n × n matrix A ∈ Mn×n is defined to be the sum of its diagonal entries: tr A =
a11 +a22 H+. . . + ann. Prove that the set of trace zero matrices, tr A = 0, is a subspace of Mm×n?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:29 AM

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The trace of an n n matrix A Mnn is defined to be the sum

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Applied Linear Algebra

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