Tensors-1 (An Introduction)
This is the first video on tensors. Here we first construct the dual space starting with a finite-dimensional vector space and then construct the basis for dual space. Later we introduce the double dual and then finally define the tensor as a multilinear map.
NOTE: At the end of the video, for 5 mins there is a problem with voice recording so that part of the video will be discussed again in the next video. I apologize for the inconvenience.
Timestamps
0:00 - Beginning Remarks
1:37 - Definition of Dual Space
6:28 - Basis for Dual Space
22:17 - Double Dual
26:35 - Definition of Tensor
31:18 - Examples
36:39 - (1, 1) tensor & (0, 2) tensor (It will be discussed again in the next video)