A matrix of the form aIn, where a is a number, is called an n n

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A matrix of the form aIn, where a is a number, is called an n × n scalar matrix.
Show that A is a scalar matrix if it commutes with every n × n matrix.

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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:31 AM

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A matrix of the form aIn, where a is a number, is called an n n

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If n 1 it is clear If n 1 Exercise 6d gives aqr Ip...View the full answer

Linear Algebra With Applications

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