I want to adjust the timing belt and timing chain for Hyundai matrix 2005?

run the fault codes
check for faulty cam/ crank position sensor/s
check for broken timing belt
check for immobilizer operation

Check this link for timing chain images:

2006 Hyundai Matrix 1 6 Timing chain Google Search

this will help with the video:

How to do Hyundai timing belt

check that all vacuum lines have been connected. Check that the wiring to the accelerator control is connected . If it is a cable operation ensure that the cable has been fitted correctly

When I did a timing chain on my Datsun I set up TDC on number 1 cylinder and then used a dob of paint on each pulley and a fixed point on the engine so that I could make sure everything lined up the same when I changed the chain.

Belt is my best guess, chains are mostly for v6, v8. i doubt hyundai will use chains

i do not know but you can call your local Hyundai dealership in the parts department and they be able to tell you if its a chain or a belt.

your 2005 toyota matrix is timing chain.

Installation
Ensure timing marks aligned [6] & [7] . 1. Fit timing belt in anti-clockwise direction, starting at crankshaft sprocket. Ensure belt is taut between sprockets. 2. Slacken tensioner pulley bolt [8] . Push tensioner pulley firmly against timing belt to tension belt. 3. Tighten tensioner pulley bolt [8] . Tightening torque: 43-55 Nm. 4. Except Matrix: Turn crankshaft one turn clockwise. 5. Matrix: Turn crankshaft two turns clockwise. 6. Ensure timing marks aligned [6] . 7. Apply a load of 2 kg to belt at . Belt should deflect 4-6 mm. If not: Adjust position of tensioner pulley. 8. Install components in reverse order of removal. 9. Tighten crankshaft pulley bolt [2] . Tightening torque: 170-180 Nm

7 is timing mark on cam,pin mark to top,hole in spoke below pin mark lines up with mark on head
6 is crank timing mark,pin mark on crank lines up with mark on block
NOTE this mark is just before top

your book will say the service interval for the chain. It called a belt. Its usually done around 80,000. No adjustment can be made. It gets replaced. If you fail to replace it it can break and destroy the engine.

Well you are in luck if that is your concern. The '05 Toyota Corolla has a chain instead of a belt. The recommended mileage I am not sure of but it will be listed in the owners manual. Most of the timing belts are recommended at no later than 90, 000 miles. The timing chains I have done I did because of a chain guide issue. They do get some slack in them but they aren't going to cause you to be broken down on the road with engine problems like a belt can.
i hope this helps, please remeber to rate this fix.