Operations with Circulant Matrix using GAP

Question

I am newbie using GAP software.

I need to know how to use GAP software for algebraic computations with circulant matrix.

Some examples would suffice.

Just for clarity Circulant Matrix: In linear algebra, a circulant matrix is a square matrix in which all row vectors are composed of the same elements and each row vector is rotated one element to the right relative to the preceding row vector. It is a particular kind of Toeplitz matrix.

I want to find inverse of a circulant matrix when only first row is even.

Answer 1

We can use GUAVA library to use circulant matrix. An example is given below

gap> LoadPackage( "guava" );
gap> k:=3; L:=[1,2,3,4];;
gap> M:=CirculantMatrix(k,L);;
gap> Display(M);

You can refer GUAVA library for further operations.