Now if im understanding right (quite a few concepts im remembering here from physics and math) math vectors are these: v = (a, b, c) in which case yes i do have an understanding of them
Right, basically, and what vectors are good for is representing a magnitude and a direction, say the position of something relative to the position of something else, or, say, the velocity of a spaceship.
Now, imagine someone came up to you and said, "I understand what regular numbers are but I don't understand what a fraction is" You could explain it to them by telling them what fractions are good for. You could say, "If you have x units of something and you want to evenly split it up among 3 people you can figure out how much each person gets by multiplying x by 1/3".
Well, similarly what matrices are good for is what they can do to vectors. Say you have a 2D shape represented as a set of coordinates in 2D space. If you wanted to rotate the shape around the origin by some angle you can think of each coordinate as a 2D vector and multiply each of these vectors by a particular matrix. This is the sort of thing that matrices are good for.