Linear algebra became a lot more interesting once you had cheap computers and Matlab.
The Math in my 4 year engineering degree was structured something like this:
First Semester Year 1 two math courses: Calculus 1, Linear Algebra
Second Semester Year 1 two math courses: Calculus 2, Sequences and Series (this one was probably least useful all I remember from this 15+ years later is Taylor Series and Binomial Theorem)
First Semester year 2 two math courses: Differential Equations, Statistics for Engineers.
From second semester year 2 onwards there were no more discrete math classes this was where the degree really specialized into various engineering streams, Mech Eng, Chem Eng, Civil etc. Had their own courses. I studied Materials Engineering some courses were shared with other eng students (For example I shared Thermodynamics with Mechanical Engineering students) but others such as Non-ferrous metallurgy were pretty deeply specialized.
A lot of subject used built on earlier math (Fluid Dynamics was backed up by lots of differential equations for example, stuff like Gamma Function would come up in a lot of places. Solid Mechanics had a lot of integrals second moment of area etc.), Linear Algebra I can remember from Fracture mechanics and crack propagation (Stress and Strain tensors etc.)
Have a Master's in Material Science and still don't remember a lot of Linear Algebra specifically.