Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, 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? OB. Oc. VD. 1 1 V2 V2 1 1 1 1 1 V2 12 The corresponding quadratic form is y' Dy = ||| (Simplify your answer.) |- |-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, 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.
O B.
Oc.
1
1
1
1
1
1
1
1
1
1
V2
V2
The corresponding quadratic form is y' Dy = |||
(Simplify your answer.)
Transcribed Image Text:Make a change of variable, x = Py, that transforms the quadratic form 3x, + 14x, x, + 3x, 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. O B. Oc. 1 1 1 1 1 1 1 1 1 1 V2 V2 The corresponding quadratic form is y' Dy = ||| (Simplify your answer.)
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