Timeline for Are matrices and second rank tensors the same thing?
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| Jan 13, 2015 at 12:19 | comment | added | Bence Racskó | This is an old comment, and I am not an economist, but if it is a linear map, then it IS a tensor, if the spaces you mentioned are finite-dimensional. If we denote the vector space of economic conditions as $\mathbb{EC}$ and the space of economic outputs as $\mathbb{EO}$, then that tensor would be an element of the space $\mathbb{EO}\otimes\mathbb{EC}^{*}$, where the star denotes algebraic dualspace. | |
| Sep 23, 2014 at 0:06 | comment | added | user4552 | Nice answer. As a simple example, we could have a matrix that came up in economics, and was a linear map from a space of economic conditions to a space of economic outputs. There is no way this would be a tensor, because it wouldn't transform properly. | |
| Feb 2, 2012 at 20:22 | history | answered | Mark Beadles | CC BY-SA 3.0 |