For an n x n matrix A, the trace of A, Tr(A), is defined as the sum

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For an n x n matrix A, the trace of A, Tr(A), is defined as the sum of the diagonal entries of A. Prove that the trace defines a linear transformation from Mnn to the vector space of all real numbers.

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Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

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Question Posted: Jun 21, 2016 07:12 AM

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For an n x n matrix A, the trace of A, Tr(A), is defined as the sum

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Let A and B belong to M nm and let c be a ...View the full answer

Elementary Linear Algebra with Applications

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