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 -
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 -
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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