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Find the matrix A of the quadratic form associated with the equation. 3x2 2xy + 3y² + 8z² - 46 = 0 A = 3 -1 0 -1 3 0 0 8 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.)

Find the matrix A of the quadratic form associated with the equation. 3x2 2xy + 3y² + 8z² - 46 = 0 A = 3 -1 0 -1 3 0 0 8 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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the matrix A of the quadratic form associated with the equation. 3x² - 2xy + 3y² + 8z² - 46 = 0 A = 3 -1 0 -1 3 0 0 0 8 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.)
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 3x² - 2xy + 3y² + 8z² - 46 = 0 A = 3 -1 0 -1 3 0 0 0 8 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.)
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