"Linear Algebra" is a massive field of study, so a comprehensive formula sheet would be at least the size of a textbook.
You would have to explicitly give the course outline for your linear algebra course - and at that point you could just take notes on lectures and make your own.
Also, your course probably has very few actual formulas to remember - most of the work would be proofs or performing procedures like Gram-Schmidt or factorisations. So you would definitely need to know certain properties related to types of matrices, eigenvalues and eigenvectors and such.