Here are my two cents. First, consider how many other math courses you would like to take. If you plan on taking any sort of "advanced calculus", then the more theoretical course on linear algebra may be more helpful. Linear algebra is usually a mixture of theory and technique, so even the theoretical course should teach you how to row reduce a matrix. What ever course you take, you should come out of it understanding what the following terms mean: finite dimensional vector space, linear combination, linear transformation, orthogonal, orthonormal, scalar product space, hermitian operator, eigenvalue, and eigenvector.
Quantum mechanics is generally couched in the terminology of linear algebra. Keep in mind that Heisenberg invented "matrix mechanics" and the whole trouble with physical quantities (observables) that cannot be measured simultaneously is that they don't "commute".
This is not to say that the "computational" course would not be useful. Just make sure that you would run into enough theory to understand what the terms above mean.
I hope that helps, and don't hesitate to post again if it doesn't.