I've got a question about 2x2 and 3x3 encoding matrices. Clearly, to receive whole numbers under matrix multiplication (encryption), you would need a matrix with the determinant of 1 or -1. However, what does it matter if you use a 2x2 or a 3x3 encoding matrix, as long as the determinant = 1 or -1? I've heard that using a 3x3 matrix for encryption has several strengths and advantages of a 2x2 encoding matrix. My question is: what are these strengths/advantages of a 3x3 encoding matrix as opposed to a 2x2 matrix?
Thanks so much for taking the time to help me! This is sort of urgent as I have an assignment due soon, so your help would mean the world.

p.s. Sorry if this is in the wrong forum I didn't know what to put it in.