Find the change of variable x = Py that transforms the quadratic form x' Ax into y' Dy as shown. 2 − 14x² − 13x² − 12x3 + 4×₁×2 − 4×₂×3 = − 10y² - 13y² – 16y² P= (Type an exact answer using radicals as needed)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.4: Multiplying Binomials Mentally
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Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown.
- 14x² - 13x² - 12x3 + 4×₁×2 − 4x₂x3 = − 10y? - 13y² - 16y3
P =
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. - 14x² - 13x² - 12x3 + 4×₁×2 − 4x₂x3 = − 10y? - 13y² - 16y3 P = (Type an exact answer, using radicals as needed.)
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