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Make a change of variable, x= Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give P and the new quadratic form. Q(x) = 3x + 6x, + 4x, x2 A. 1 1 2 V5 V5 : - 7y; - 2y3 V5 P = V5 P = + 2 1 2 1 V5 V5 V5 V5 D. 1 P = - 2 1 -2 7y, + 2y2 1 7y +2y? P = 1 B. | - ५

Make a change of variable, x= Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give P and the new quadratic form. Q(x) = 3x + 6x, + 4x, x2 A. 1 1 2 V5 V5 : - 7y; - 2y3 V5 P = V5 P = + 2 1 2 1 V5 V5 V5 V5 D. 1 P = - 2 1 -2 7y, + 2y2 1 7y +2y? P = 1 B. | - ५

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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Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give Pand the new quadratic form. Q(x) = 3x, + 6x, + 4x, X2 A. 1 2 1 2 V5 V5 - 7y - 2y3 V5 7y +2y? V5 P = 1 1 V5 V5 V5 V5 D. 1 P = 2 - 2 7y1 +2y2 1 1 P= - 2 :7y주 + 2y2 1 P. B.
Transcribed Image Text:Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give Pand the new quadratic form. Q(x) = 3x, + 6x, + 4x, X2 A. 1 2 1 2 V5 V5 - 7y - 2y3 V5 7y +2y? V5 P = 1 1 V5 V5 V5 V5 D. 1 P = 2 - 2 7y1 +2y2 1 1 P= - 2 :7y주 + 2y2 1 P. B.
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