Lay Chapter 3,

Determinants

Determinants

Let's write a procedure which creates matrices.

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Now generate a few square matrices and calculate their determinants

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Determinants in Analytic Geometry

Equation of a Line through Two Points

Use a determinant to find the equation of the line which passes through P(0,1) and Q(1,2).

See Lay's Case Study for chapter 3, "Determinants in Analytic Geometry."

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Equation of a Circle through Three Points

Use a determinant to find the equation of the circle which passes through P(0,1), Q(1,2), and R(2,4).

See Lay's Case Study for chapter 3, "Determinants in Analytic Geometry."

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Find the standard equation for this circle by "completing the squares."

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Equation of a Plane through Three Points

Use a determinant to find the equation of the plane which passes through P(0,1,0), Q(1,2,1), and R(1,3,5).

See Lay's Case Study for chapter 3, "Determinants in Analytic Geometry."

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