Answer by Anonymous Geometer for What is exactly the relation between...
Vectors and Tensors are mathematical objects invariant under coordinate system chosen. Matrices and Arrays for that matter are representations of rank-2 tensor or vectors in a given coordinate...
View ArticleAnswer by lesnik for What is exactly the relation between vectors, matrices,...
Scalars are 0-order tensors, vectors are 1-order tensors,and matrices are 2-order tensors. n-order tensors are simplyan n-dimensional array of numbers.This is almost correct.But tensors are more than a...
View ArticleAnswer by EuYu for What is exactly the relation between vectors, matrices,...
I will try to do things as concretely as possible by working in $\mathbb{R}^n$.As you've mentioned, matrices represent linear maps. Tensors represent multi-linear maps.Let's start with vectors. There...
View ArticleWhat is exactly the relation between vectors, matrices, and tensors?
I am trying to understand what Tensors are (I have no physics or pure math background, and am starting with machine learning). In an introduction to Tensors it is said that tensors are a generalization...
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