[jacobolus]

Gil Strang does not view matrices as “just boxes of numbers”, nor does he teach that view.

YMMV, but I find pure mathematicians treat computers as “push-button technology” much more than applied mathematicians.

[auggierose]

I am not disagreeing with you there when it comes to pure mathematicians :-D

Edit: But there are of course big exceptions there as well, for example Thomas Hales.