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
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
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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