For the positive integer n > 1, let T: Mnn R be the linear transformation defined

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For the positive integer n > 1, let T: Mnn → R be the linear transformation defined by T(A) = tr(A), for A an n × n matrix with real entries. Determine the dimension of ker(T).

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Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

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Question Posted: Jun 17, 2016 08:11 AM

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For the positive integer n > 1, let T: Mnn R be the linear transformation defined

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The rank of T is at most 1 since dimR 1 and the image of T is a subsp...View the full answer

Elementary Linear Algebra with Applications

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