Difference Between Tensor Product and Outer Product

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SUMMARY

The discussion clarifies the distinction between the tensor product and the outer product of matrices. The tensor product, denoted as A ⊗ B, results in a larger matrix that combines the elements of matrices A and B, while the outer product, represented as A ⊗ B, produces a matrix from the vector components of A and B. Key references include two questions on Mathematics Stack Exchange that delve into these concepts in detail.

PREREQUISITES
  • Understanding of matrix operations
  • Familiarity with linear algebra concepts
  • Knowledge of vector spaces
  • Basic proficiency in mathematical notation
NEXT STEPS
  • Research the properties of the tensor product in linear algebra
  • Explore applications of outer products in machine learning
  • Study the implications of tensor products in quantum mechanics
  • Examine examples of tensor and outer products in computational mathematics
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Mathematicians, students of linear algebra, and professionals in fields such as physics and computer science who require a solid understanding of matrix operations.

Sudharaka
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Hi everyone, :)

Xristos Lymperopoulos on Facebook writes (>>link<<);

can someone explain me the diffrence between tensor product of matrices and outer product of matrices?
 
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