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Essence of linear algebra

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A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra

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Cramer's rule, explained geometrically | Chapter 12, Essence of linear algebra

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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

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Change of basis | Chapter 13, Essence of linear algebra

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Cross products | Chapter 10, Essence of linear algebra

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Cross products in the light of linear transformations | Chapter 11, Essence of linear algebra

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Dot products and duality | Chapter 9, Essence of linear algebra

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Nonsquare matrices as transformations between dimensions | Chapter 8, Essence of linear algebra

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Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra

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The determinant | Chapter 6, Essence of linear algebra

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Three-dimensional linear transformations | Chapter 5, Essence of linear algebra

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Matrix multiplication as composition | Chapter 4, Essence of linear algebra

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Linear transformations and matrices | Chapter 3, Essence of linear algebra

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Linear combinations, span, and basis vectors | Chapter 2, Essence of linear algebra

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Vectors | Chapter 1, Essence of linear algebra

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