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. 2x² +6x₁x2 + 2x² Choose the most precise classification for the quadratic form. OA. Positive definite OB. Positive semidefinite OC. Negative semidefinite D. Indefinite OE. Negative definite The new quadratic form is y Dy=[ (Simplify your answer.)
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. 2x² +6x₁x2 + 2x² Choose the most precise classification for the quadratic form. OA. Positive definite OB. Positive semidefinite OC. Negative semidefinite D. Indefinite OE. Negative definite The new quadratic form is y Dy=[ (Simplify your answer.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.4: Graphs Of Quadratic Equations: The Discriminant
Problem 2CE
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