1. My question is a general question that I need the answer to so that I can fully understand the homework I am doing. When do I write given vectors as columns of a matrix, and when do I write them as rows of a matrix? More specifically, how do I write the vectors when finding: 1) Ker(T) 2) Linear Transformations 3) Basis And rather than memorizing, is there a way to logically understand why I am writing the vectors as such? I'm sorry if this is vague, I am just trying to understand this material better. Thank you!