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2.8

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The general conic \(a{x^2} + 2bxy + c{y^2} + dx + ey + f = 0\) and the quadratic form \({x^{\text{T}}}Ax = a{x^2} + 2bxy + c{y^2}\) .

Diagonalizing the matrix \(A\) with the rotation matrix \(P\) and reducing the general conic to standard form.

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