If $A$ is a matrix and $B$ is a tensor (for example 3 by 3/rank 2, and with the same components) and $v$ is a 3 by 1 vector,
- Is there any difference between $A.v$ and $B.v$(in terms of the formula to compute them), where $.$ is the dot product. Are they both a normal "matrix multiplication" which result a 3 by 1 vector?
Thank you for your help.