3Blue1Brown Series Essence of linear algebra Episode 11 Cross products in the light of linear transformations 2016
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For anyone who wants to understand the cross product more deeply, this video shows how it relates to a certain linear transformation via duality. This perspective gives a very elegant explanation of why the traditional computation of a dot product corresponds to its geometric interpretation.
- Released: 2016-09-03
- Runtime: 60 minutes
- Genre: Documentary
- Stars:
- Director: Grant Sanderson
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1. Vectors, what even are they? 2016-08-06
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3. Linear transformations and matrices 2016-08-07
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4. Matrix multiplication as composition 2016-08-09
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5. Three-dimensional linear transformations 2016-08-10
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6. The determinant 2016-08-11
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9. Dot products and duality 2016-08-24
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10. Cross products 2016-09-01
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12. Cramer's rule, explained geometrically 2019-03-17
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13. Change of basis 2016-09-11
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14. Eigenvectors and eigenvalues 2016-09-15
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15. A quick trick for computing eigenvalues 2021-05-07
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16. Abstract vector spaces 2016-09-24
