Difference between tensor and vector?

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SUMMARY

The discussion clarifies the distinction between tensors and vectors, specifically addressing the Kronecker delta (δij). The Kronecker delta is identified as a rank 2 tensor, as it represents the identity matrix when i equals j. In contrast, a vector is classified as a rank 1 tensor, while a scalar is a rank 0 tensor. This hierarchy of ranks is essential for understanding tensor mathematics.

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  • Understanding of tensor mathematics
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  • Knowledge of rank and dimensionality in linear algebra
  • Basic concepts of scalars, vectors, and matrices
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  • Learn about rank and types of tensors in linear algebra
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Vitani11
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δij is the Kronecker delta - is this considered a tensor or vector? I know it means the identity when i=j so I'm going to guess tensor because it's a matrix rather than just a vector but I want to make sure. A matrix is a rank 2 tensor and a vector is a rank 1 and a scalar is a rank 0? How does that work?
 
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Okay awesome! Thank you for the clarification and link
 

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