Subject
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Subject: calculus
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
12x₁2 + 12x₂² + 12x3² + 12x42 +24x₁x₂ +24x3x4-32x1x4 +32X₂X3
What is the most precise classification for the quadratic form?
OA. Negative definite
OB. Positive semidefinite
OC. Negative semidefinite
OD. Indefinite
O E. Positive definite
The new quadratic form is y Dy=0
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