1. Open new 500px x 500px document. Then create new layer. Fill it with Black.
2. Go to Filter/Noise/Add Noise.
3. Go to Filter/Blur/Motion Blur and apply like image below.
4. Go to Image/Adjustment/Hue and Saturation or use combination Ctrl-U to apply green matrix color like image below.
5. To make it more realistic, go to Image/Adjustment/Level or use combination Ctrl-L and set numbers like image below.
6. Next, use Pixel font to create lines of text and code. You can download the font I use here. Then duplicate text and code layer, move the copy layer to another position and go to Filter/Blur/Motion Blur. Adjust the distance lower a little bit. Erasing part of the line will make it more "corrupted". This is what I have.
7. Download pictures I use from here and here. Clean background of the picture of Matrix characters. Then duplicate it. At layer copy, set blend mode Soft light, at layer origin, go to Filter/Blur/Gaussian Blur with radius 1.0px
8. Apply background with picture of ruined city. Change blend mode into Screen and lower opacity to 60-70%.
9. Duplicate text and code layer. Go to Edit/Transform/Flip horizontal. Move it. Then change its color into white and its opacity into around 50%.
10. After that, create new layer, fill with #176c87 and change its blend mode to Softlight. Next, choose layer text and code origin, Ctrl-U to adjust Hue and Saturation.
11. Click this icon to create a new fill or adjustment layer:
Then choose Levels and set numbers as image below:
12. Duplicate layer color in step 10, re-order it above layer Levels.
13. This is what I got up to now. Next, add text using Matrix Font and "decorate" it a little bit with this texture. Set its blend mode Multiply and opacity 60-70%. If you are still not satisfy with the current result, then apply this texture under the characters layer and change the blend mode into Lighten.
This is my final result.
More Tutorials: 
