adj.m

Finds the adjoint of any rectangular matrix

Description

Finds the adjoint of a matrix of any size.
 
This code was tested under the student edition of matlab version 5.0.
 
Note: This also appears to work under MATLAB 5.2.1

• MATLAB release: MATLAB 5.2 (R10)

 

[rwittick kumar]

tiny and efficient

[Jason Taillon]

Works very well

[. .]

 

[muhamet divan]

 

[Luis T.]

Does this take into account complex matrices?

In my graduate linear systems analysis course today, our professor today discussed that if a matrix is self-adjoint, then adj(T) = T.

For a real matrix, this means it must be symmetric, and for a complex matrix, it means that it must be hermitian.

For the hermitian and self-adjoint matrix:
T=[0,j;-j,0]

adj(T) should be equal to T

Using this program, it comes out to be conj(T). I believe that should not be the case, unless I'm totally mistaken.

[Paul Godfrey]

To Luis T. ([e-mail]):
Your professor is referring to one of the other definitions of "Adjoint"

This program was written to satisfy
A * Inv(A) = I
with Inv(A) = Adj(A)/det(A)
So, for your example, Adj(A) = [0 -j; j 0] ans det(A) = -1
We have A*Adj(A)/det(A) = [1 0; 0 1] = I, as required.

[ugl fiser]

nice work and easy touse

thanx lot

[Silvia A]

This program satisfy
A * Inv(A) = I
with Inv(A) = Adj(A)/det(A)
When I tried contrary Inv(A)*A ~= I, the result isn't I anymore.
I think this situation should satisfy both condition.

[ben talbe ahmed]