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

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+.

1i2i -3 2-5i A"-(1-1 2-3 i) A"=(-2 i 2+51

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