The Frobenius norm of an n à n matrix A is defined as Prove that this defines

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The Frobenius norm of an n × n matrix A is defined as
Σ4 |AF =

Prove that this defines a matrix norm by checking the three norm axioms plus the multiplicative inequality (10.33).

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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