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Chapter 7
Systems of linear equations
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17 · Systems of linear equations with a determinant different from 0
18 · Systems of linear homogeneous equations
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19 · Systems of linear equations of general form
Section 17
Systems of linear equations with a determinant different from 0
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Section 18
Systems of linear homogeneous equations
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Section 19
Systems of linear equations of general form
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Subsection 19.1
Systems of linear non-homogeneous equations (19.1-19.12)
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Subsection 19.2
Conditions for the consistency of the system of linear equations (19.13-19.20)
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Subsection 19.3
Equivalent systems of equations (19.21-19.29)
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Subsection 19.4
Applications (19.30-19.33)
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Subsection 19.5
Applications (19.34-19.49). The problems below, numbered 19.34-19.49, relate to a line, a circle, a plane, and a sphere. One should take the algebraic equation of the corresponding set as the definition and apply the theory of systems of linear equations
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