How do I generate a 4 dimensional matrix of dimension 5x5x5x5 with random complex numbers as elements?

If I am successful to do so, can I invert the above matrix? Let us say I have A(a,b;c,d) as a 4-d matrix. If I invert this matrix will i get B(c,d;a,b)?

[Walter Roberson]

Please explain further what you mean by "invert". If you mean inv() then that cannot be done for 4 dimension matrices.

[vishav Rattu]

By "invert" I mean I need to find a B such that BA=AB=I. I was searching for the answer alongside and stumbled upon this link: http://www.iaeng.org/publication/WCE2010/WCE2010_pp1838-1841.pdf

I think this clarifies the "inversion" is possible mathematically. I need to invert individual pages and output the inverted matrix.

[Walter Roberson]

There are no MATLAB routines to do multidimensional matrix inversion. You would need to write them yourself. The result would be whatever the theoretic result would be, which is outside of the scope of the MATLAB Answers forum.

Answer 1

[Walter Roberson]

A = complex(rand(5,5,5,5), rand(5,5,5,5);

or

A = rand(5,5,5,5) + 1i * rand(5,5,5,5);

then

B = permute(A, [3 4 1 2]);

[Ömer Asicioglu]

if i have to 100 dimension vector , how to create ?

[Walter Roberson]

N = number_of_entries;
D = 100;
dim100 = rand([ones(1,D-1),N]);

Answer 2

[Andrei Bobrov]

Maybe so?

B = A(:,:,end:-1:1,:);

or

B = flip(A,3);