Make a change of variable, x= Py, that transforms the quadratic form 3x + 14x₁x2 + 3x3 into a quadratic form with no cross-product term. Give P and the new quadratic form. O A. Which of the following matrices can be used as P in x = Py to produce a quadratic form with no cross product term? O C. 1 1 √2 √2 [호회 1 1 √2 √2 1 √√2 1 √2 1 1 √√2 √2 OB. The corresponding quadratic form is y' Dy= (Simplify your answer.) 1 √2 √2 5- 3- C 1 √2 √2 5/-3/-0 2/31 - SI- OD.
Make a change of variable, x= Py, that transforms the quadratic form 3x + 14x₁x2 + 3x3 into a quadratic form with no cross-product term. Give P and the new quadratic form. O A. Which of the following matrices can be used as P in x = Py to produce a quadratic form with no cross product term? O C. 1 1 √2 √2 [호회 1 1 √2 √2 1 √√2 1 √2 1 1 √√2 √2 OB. The corresponding quadratic form is y' Dy= (Simplify your answer.) 1 √2 √2 5- 3- C 1 √2 √2 5/-3/-0 2/31 - SI- OD.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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Make a change of variable, x = Py, that transforms the quadratic form 3x² + 14x₁x2 + 3x² into a quadratic form with no cross-product term. Give P and the new quadratic
form.
Which of the following matrices can be used as P in x= Py to produce a quadratic form with no cross product term?
O A.
1
√2
1
1
√√2 √√2
OB.
The corresponding quadratic form is y' Dy=
(Simplify your answer.)
√2 √2
www
√2 √2
O C.
√2 √2
1
1
√2 √2
OD.
1
·|-|
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa81a7877-3b3f-437a-984a-59f34be027a5%2F5d83a4cb-732c-4247-910f-1ea7f5123116%2F6srvuap_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
Make a change of variable, x = Py, that transforms the quadratic form 3x² + 14x₁x2 + 3x² into a quadratic form with no cross-product term. Give P and the new quadratic
form.
Which of the following matrices can be used as P in x= Py to produce a quadratic form with no cross product term?
O A.
1
√2
1
1
√√2 √√2
OB.
The corresponding quadratic form is y' Dy=
(Simplify your answer.)
√2 √2
www
√2 √2
O C.
√2 √2
1
1
√2 √2
OD.
1
·|-|
1
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