Vector

An ordered collection of Scalars : the ordered nature of this collection attributes the direction to vectors.

The size of this collection is the dimension of the vector : a vector generalizes into a Tensor.

Accessing a particular element of a tensor is termed as indexing into it.

• vector-vector addition
• scalar-vector multiplication
• dot product
• cross product
• matrix vector multiplication
  • this is an oriented collection of dot-products
• a more detailed expansion on the relevant math for vectors (and matrices and tensors) will be populated in here from the paper : The Matrix Calculus you need for Deep Learning