Hi, I just wanted to double check something:
function : R^n -> R^m
When this says that the function takes a vector n and turns it into vector m, does this mean that we take a vector of size 5 lets say [1, 2, 3, 4, 5] and turn it into another vector also of size 5 e.g. [7, 8, 9, 10, 11]? So in other words, both vectors are the same size/?dimension? so the only thing that the change from n to m signifies is that we're changing the values due to the function/transformation? So it doesn't turn it into a column vector or something? (I may also be confusing and interchanging array and vector).
This part seems a bit ambiguous for me.