- #1
dman12
- 13
- 0
Hi,
I am working through a textbook on general relativity and have come across the statement:
"A general (2 0) tensor K, in n dimensions, cannot be written as a direct product of two vectors, A and B, but can be expressed as a sum of many direct products."
Can someone explain to me how this is the case? Am I right in thinking that a (2 0) tensor is the tensor product of two vectors, so how then is the direct product of two vectors different to the tensor product?
Thanks!
I am working through a textbook on general relativity and have come across the statement:
"A general (2 0) tensor K, in n dimensions, cannot be written as a direct product of two vectors, A and B, but can be expressed as a sum of many direct products."
Can someone explain to me how this is the case? Am I right in thinking that a (2 0) tensor is the tensor product of two vectors, so how then is the direct product of two vectors different to the tensor product?
Thanks!