can you give an eg. of a hermitian matrix?

2 ⤊

can you give an eg. of a hermitian matrix?

2006-12-31 01:03:49 · 3 answers · asked by prs1145 1 in Science & Mathematics ➔ Physics

3 answers

Any real symmetric matrix will be hermitian. For a complex one,

[[2 i]
[-i 3]]

will work.

2006-12-31 01:09:38 · answer #1 · answered by mathematician 7 · 2⤊ 0⤋

A matrix is hermitian if it is equal to its conjugate transpose. For a real matrix, this means if and only if (iff) it is symmetric

2006-12-31 10:17:44 · answer #2 · answered by veerabhadrasarma m 7 · 0⤊ 1⤋

Here is one:

100 (1+i) (2-i)
(1-i) 200 0
(2+i) 0 300

The diagonal elements must be real. The off-diagonal elements are complex conjugates of each other.

2007-01-01 16:34:29 · answer #3 · answered by genericman1998 5 · 0⤊ 0⤋