Applying tempered glass screen protector to matt display?

Hello. I plan to buy a new laptop and want to protect its display. Would it be possible to apply tempered glass screen protector on a matt bigger screens such as 17.3" or 18"?

Glossy screen protectors not only would prevent scratches but also increase contrast and vibrancy of colors but at the cost of reflections unless there are screen protectors with antireflective coatings which are superior to matt surfaces. I now use a Lenovo y700 which has a glossy display and had no issues with reflections but I had small scratches which appear as black dots on white background.