Find the matrix A of the quadratic form associated with the equation. 3x2 - 2xy + 3y2 + 8z2 – 26 = 0 3 -1 -1 3 A = 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.) (x)² + &)² + (?)? (13) 尚 = 1 (플) (#)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the matrix A of the quadratic form associated with the equation.
3x2
2ху + Зу2 + 822
26 = 0
3
-1
-1
3
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.)
(x)²)²
(13)
*骨當…。
(2)?
+
1
13
13
2
4
Transcribed Image Text:Find the matrix A of the quadratic form associated with the equation. 3x2 2ху + Зу2 + 822 26 = 0 3 -1 -1 3 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.) (x)²)² (13) *骨當…。 (2)? + 1 13 13 2 4
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