2Vectors

IA Vectors and Matrices

2 Vectors

We might have first learned vectors as arrays of numbers, and then defined

addition and multiplication in terms of the individual numbers in the vector.

This however, is not what we are going to do here. The array of numbers is just

a representation of the vector, instead of the vector itself.

Here, we will define vectors in terms of what they are, and then the various

operations are defined axiomatically according to their properties.