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Chapter 10
Euclidean and unitary spaces
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161
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70%
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25 · Scalar product. Gram matrix
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26 · Geometry of Euclidean space
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27 · Unitary spaces
Section 25
Scalar product. Gram matrix
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58
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74%
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Subsection 25.1
Definition of Euclidean space (25.1-25.19)
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19
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47%
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Subsection 25.2
Scalar product in coordinates (25.20-25.44)
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25
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80%
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Subsection 25.3
Orthogonal matrices (25.45-25.58)
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14
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100%
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Section 26
Geometry of Euclidean space
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74
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72%
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Subsection 26.1
Orthogonal complement of a subspace (26.1-26.21)
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21
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67%
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Subsection 26.2
Orthogonal projections (26.22-26.41)
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20
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70%
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Subsection 26.3
Orthogonalization (26.42-26.48)
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7
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86%
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Subsection 26.4
Volume (26.49-26.54)
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6
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67%
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Subsection 26.5
The angle between a vector and a subspace (26.55-26.58)
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4
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25%
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Subsection 26.6
Reflection (26.59-26.62)
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4
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100%
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Subsection 26.7
Linear functions on Euclidean space (26.63-26.74)
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12
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83%
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Section 27
Unitary spaces
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29
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55%
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Subsection 27.1
Definition (27.1-27.9)
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9
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33%
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Subsection 27.2
Scalar product in coordinates (27.10-27.25)
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16
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56%
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Subsection 27.3
Orthogonality (27.26-27.29)
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4
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100%
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