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 4x+4x,x2 - x X2 What is the most precise classification for the quadratic form? A. Positive semidefinite B. Negative definite OC. Indefinite D. Positive definite E. Negative semidefinite The new quadratic form is y'Dy -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 32E
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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
4x+4x,x2 -x
What is the most precise classification for the quadratic form?
A. Positive semidefinite
QU. Negative definite
OC. Indefinite
D. Positive definite
E. Negative semidefinite
The new quadratic form is y'Dy
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 4x+4x,x2 -x What is the most precise classification for the quadratic form? A. Positive semidefinite QU. Negative definite OC. Indefinite D. Positive definite E. Negative semidefinite The new quadratic form is y'Dy
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