The Hermitian adjoint of a complex m x n matrix A is the complex conjugate of its

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The Hermitian adjoint of a complex m x n matrix A is the complex conjugate of its transpose, written Af = AT = AT. For example, if
The Hermitian adjoint of a complex m x n matrix

then

The Hermitian adjoint of a complex m x n matrix

Prove
(a) (A+)+ = A,
(b) (zA + uB)+ = z-A+ + w-B+ for z, w ˆˆ C,
(c) (AB)+ = B+A+.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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