Find the matrix A of the quadratic form associated with the equation. 3x2 - 2xy + 3y2 + 8z2 – 30 = 0 A = Find the equation of the rotated quadratic surface in which the xy-, xz-, and yz-terms have been eliminated. (Use xp, yp, and zp as the new coordinates.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the matrix A of the quadratic form associated with the equation.
3x2 – 2xy + 3y2 + 8z2 – 30 = 0
A =
Find the equation of the rotated quadratic surface in which the xy-, x-, and yz-terms have been eliminated. (Use xp, yp, and zp as the new coordinates.)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 3x2 – 2xy + 3y2 + 8z2 – 30 = 0 A = Find the equation of the rotated quadratic surface in which the xy-, x-, and yz-terms have been eliminated. (Use xp, yp, and zp as the new coordinates.)
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