A Tensor is a N-dimensional Matrix:
- A Scalar is a 0-dimensional tensor
- A Vector is a 1-dimensional tensor
- A Matrix is a 2-dimensional tensor
A Tensor is a generalization of Vectors and Matrices to higher dimensions.
Tensor Ranks
The number of directions a tensor can have in a N-dimensional space, is called the Rank of the tensor.
The rank is denoted R.
A Scalar is a single number.
- It has 0 Axes
- It has a Rank of 0
- It is a 0-dimensional Tensor
A Vector is an array of numbers.
- It has 1 Axis
- It has a Rank of 1
- It is a 1-dimensional Tensor
A Matrix is a 2-dimensional array.
- It has 2 Axis
- It has a Rank of 2
- It is a 2-dimensional Tensor
Real Tensors
Technically, all of the above are tensors, but when we speak of tensors, we generally speak of matrices with a dimension larger than 2 (R > 2).
