< Classify the quadratic form below. Then make a change of with no cross-product term. Write the new quadratic form. ²+4x₂² +4x² + 4x₁2 +8x₁x₂ +8x3x4 +6X₁X4- 2 2 4x1 What is the most precise classification for the quadratic fo OA. Negative semidefinite OB. Positive semidefinite OC. Indefinite OD. Positive definite OE. Negative definite The new quadratic form is y' Dy=
< Classify the quadratic form below. Then make a change of with no cross-product term. Write the new quadratic form. ²+4x₂² +4x² + 4x₁2 +8x₁x₂ +8x3x4 +6X₁X4- 2 2 4x1 What is the most precise classification for the quadratic fo OA. Negative semidefinite OB. Positive semidefinite OC. Indefinite OD. Positive definite OE. Negative definite 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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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
²+4x₂² +4x²+4x2+8x₁x₂ +8x3x4 +6X₁X4-6X₂X3
4x1
What is the most precise classification for the quadratic form?
OA. Negative semidefinite
B. Positive semidefinite
OC. Indefinite
OD. Positive definite
OE. Negative definite
The new quadratic form is y' Dy=
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