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) (#)
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
Problem 1RQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6cf39c39-87da-4f33-bdc3-742db4a73623%2Fa0d05e9a-cce7-4ddf-9f08-5eab1130d590%2Fd0pw1cm_processed.png&w=3840&q=75)
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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