I was taught to grate on the fine side of the grater, also add and egg, bit of onion and flour. I haven't tried matzo but will try it. Also, we surved them with maple syrup. This was my grandfathers recipe. He wasn't jewish, that I know of, but was german. I'm sure it's like all recipes, they have many variations.
My mamala taught me to add an egg and a little matzo meal with the grated onion and potatoes.
Yes, I agree with 63378203. There is a Potato Latke recipe that is the way I make Potato Pancakes. do a search, it is much better.
You need to get the excess water out of potatoes by squeezing in a paper towel or cheesecloth and add chopped or grated onion to mix.