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. 2 4x1 2 + 4x3 4X2 2 + 2 OA. Positive definite B. Negative definite +4x4 +8x1x2 + 8x3x4 + 6x1x4 - 6x2x3 What is the most precise classification for the quadratic form? OC. Indefinite OD. Positive semidefinite E. Negative semidefinite The new quadratic form is y¹ 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. 2 4x1 2 + 4x3 4X2 2 + 2 OA. Positive definite B. Negative definite +4x4 +8x1x2 + 8x3x4 + 6x1x4 - 6x2x3 What is the most precise classification for the quadratic form? OC. Indefinite OD. Positive semidefinite E. Negative semidefinite The new quadratic form is y¹ Dy=.
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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