3Blue1Brown Series Essence of linear algebra Episode 2 Linear combinations, span, and basis vectors 2016
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The fundamental vector concepts of span, linear combinations, linear dependence, and bases all center on one surprisingly important operation: Scaling several vectors and adding them together.
- Released: 2016-08-07
- 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
