Yes. It's huge in engineering, for example: http://commons.bcit.ca/math/examples/civil/linear_algebra/in...

According to one of my linear algebra professors from back when, a lot of computational linear algebra was developed by the Soviets in the mid-20th century as a way to carry out optimized central planning. So I guess another application would be, socialism.

No idea if this is true or not but it's a good story. Also goes a long way towards explaining why so many linear algebra textbooks are translated from Russian.