Bullet time

I don't know if it was the first, but I know that The Matrix nicked some of the elements from Blade, like bullet time, black leather clothes, sunglasses, and the scene where swats enter the hallway with their guns towards the end of the film, and the scene where Blade jumps from one building to another. In matrix they jump from buildings to other buildings as well...

No. Here's a video on the history of "bullet time"

https://www.youtube.com/watch?v=28Ayy6XwFBg

_
Every person that served can be called a veteran, but not every veteran can be called a Marine.

This movie didn't implement bullet time in that scene. It was merely a slow motion shot with some CGI bullets.

Although the name is misleading, bullet time is a film technique in which multiple synced cameras film a subject from multiple angles. In post, the editor can stitch together these multiple angles in anyway they see fit, giving the impression that the camera is moving at an impossible speed while the subject appears frozen or slowed in time.

For that scene in Blade to have had bullet time, there would have needed to be a camera angle change, but it is clearly shot from one high speed camera and slowed down.