Skew Symmetric Matrices

[Abyt]

Anyone who will inform me how to generate Skew Symmetric Matrices in SAS/iml, please? Similarly a SAS/IML code to create a Full rank matrix, please? I thank you.

[Rick_SAS]

Although homework questions are welcome, when you ask for help you need to show what you've tried so far. Explain what you know and what you are confused about. Post some PROC IML code that indicates how you are attempting to solve the problem.

Here's a hint: A square matrix is skew-symmetric if A` = -A. Therefore you want to construct a matrix such that A[i,j] = -A[j,i] for all i,j.

[Ksharp · Accepted solution]

Just as Rick said, show what you have tried ,that is benefit to you and us .

Check if  the following code is what you need .

proc iml;
A=j(8,4);
call randseed(12345678);
call randgen(A,'normal');
cov=cov(A);
idx=loc(row(cov)<col(cov));
cov[idx]=-cov[idx];
skew_symmetric_matrix=cov;

matrix_rank=round(trace(ginv(skew_symmetric_matrix)*skew_symmetric_matrix));
print skew_symmetric_matrix ,matrix_rank;
quit;