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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F34b7d77c-7fa4-4c91-9985-580009f6455f%2F83faf6ab-dcf2-48ce-8f8e-36da3b3532f4%2Fv62m94c_processed.png&w=3840&q=75)
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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