I realize that maybe this is a super basic question for this website but I'm just an artist trying to teach themselves more math out of personal interest and I don't really understand how or why these things are divided up as they are.
I understand that an array is different than a vector in that a vector has magnitude.
And I understand that a matrix is a 2d array.
But vectors can be multiplied against vectors right? So they must be kinda in the same ballpark to be compatible?
And further confusing is that scalar and vectors are both ranks of tensors. Tensors seem to make sense but is a rank 2 tensor the same as a 2d vector? Wikipedia calls a rank 2 vector a dyadic. Dyadic has a different wiki article thank 2d vector so it must be different then right?