In mathematics, the matrix representation of conic sections is one way of studying a conic section, its axis, vertices, foci, tangents, and the relative position of a given point. We can also study conic sections whose axes aren't parallel to our coordinate system.
Conic sections have the form of a second-degree polynomial:
That can be written as:
Where is the homogeneous coordinate vector:
And a matrix:
Read more about Matrix Representation Of Conic Sections: Classification, Center, Axes, Vertices, Tangents, Reduced Equation
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