As someone that has the same end goal (but probably 2026 for me) - isn't it maybe wiser to do MVC before LinAlg?
Read the whole thing now, slightly disappointed OP doesn't try to tell us what an eigenvector is, based on his current progress.
In which case, I don't think it makes sense to do multivariate calculus before linear algebra.
The derivative of a multivariate function f: R^n → R^m at a point x is a linear map L: R^n → R^m so that f(x + v) = f(x) + Lv + o(|v|) for small v.
That means that multivariate calculus is about approximating nonlinear functions using linear ones in a small neighborhood, which enables you to apply tools from linear algebra to it.
You can kind of do multivariate calculus without linear algebra by essentially treating f as a collection of m × n univariate functions that you do ordinary calculus with (lots of partial derivatives) but I doubt it would be very enlightening.