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.)

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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Help with the second part: Find the equation of the rotated quadratic surface.......

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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