1.

Start a new image, whatever size you want with a white background make sure your colours are:

Foreground: Black
Background: White

2.

Filter > Texture > Grain

Settings:
100
100
Vertical

3.

Filter > Artistic > Neon Glow

Settings:
5 or 6

Colour:
Light Green (#00ca43)

4.

Filter > Stylize > Glowing Edges

Settings:

1

6

2

6.

Send to Image Ready. NOTE: CS3 Users like me just open the Animation Window (Window > Animation)

7.

Copy the whole image (Ctrl+A) then paste it on a new layer.
Hide the original layer.
Move the new layer up until it just moves completely off the screen.
Hide the new layer.
Show the original layer.
New Frame.
Move the copied layer down about half way across the original.
Click on the First Frame again.
Click Tween (The 4 circles fading in (or away, however you interpret it))

Settings:

Frames: 5
All the rest remain as they are.

Set all scenes delay to 0.1 Seconds.

Play your animation.
Ctrl + Shift + Alt + S to save. save it as a .gif.

PSD: http://www.rune-city.com/images/other/Animated%20Matrix.psd

ENJOY!

wow thanks for that

Thanks for this

woah, nice thx

looking good thanks for share.

Gud.
You come up with some really awesome things to tutorialize, thanks for the share

Thanks for good comments guys

Awesome

I tried to sign up at tutorial-city.com but the security code doesn't display

Wow your whole site is trippy right now

Wow that is really cool, if only i had the right program..

Yeah sorry lambo, I didn't mean to link it there. The site is trippy lol. I have removed the security code though.