Math 210-01: Linear Algebra: Reading Homework 4.1

1. Vector Spaces : when was Hamilton born? what did he study? what was his contribution to linear algebra?
   
   1. Vectors : how many special types of vector are there?
      
      1. vectors in the plane : how are components and ordered pairs related to vectors in the plane?
         
      2. operations : how are vectors added and subtracted in the plane?
         
   2. Vectors in Rⁿ : what is an ordered n-tuple? what is Rⁿ? what operations do we have on vectors in Rⁿ?
      
      1. operations : what are the additive inverse and identity in Rⁿ?
         
   3. Linear combinations : what is a linear combination of vectors?