No, linear algebra is not more useful than calculus or differential equations for any branch of engineering other than computer engineering. Computers engineering is the only discrete engineering discipline.
If you look at how people solve differential equations in practice, it’s all matrix algebra.
Linear algebra is also pervasive throughout pure mathematics.
Edit: I think everyone should also learn calculus though, and differential equations are the heart of calculus. Here’s an introductory calculus book http://www.math.smith.edu/~callahan/intromine.html and here’s an introductory linear algebra book https://web.stanford.edu/~boyd/vmls/ which try to get students closer to the way these tools get used in practice.
http://aix1.uottawa.ca/~jkhoury/app.htm
https://math.stackexchange.com/questions/256682/why-study-li...
Computer software/engineering is the only field of science that can use naive linear algebra directly to solve hard problems in the field.