Classify the quadratic form below. Then make a change of variable, x = Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. - 3x, + 6x,x2 + 5x, ... Choose the most precise classification for the quadratic form. O A. Positive semidefinite B. Negative semidefinite 'C. Indefinite O D. Negative definite O E. Positive definite The new quadratic form is y' Dy =D (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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Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the quadratic form into one with no cross-product term. Write the new
quadratic form.
- 3x,
+ 6x1 x2 + 5x%
Choose the most precise classification for the quadratic form.
O A. Positive semidefinite
O B. Negative semidefinite
C. Indefinite
O D. Negative definite
O E. Positive definite
The new quadratic form is y' Dy =
(Simplify your answer.)
Transcribed Image Text:Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the quadratic form into one with no cross-product term. Write the new quadratic form. - 3x, + 6x1 x2 + 5x% Choose the most precise classification for the quadratic form. O A. Positive semidefinite O B. Negative semidefinite C. Indefinite O D. Negative definite O E. Positive definite The new quadratic form is y' Dy = (Simplify your answer.)
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