Classify the quadratic form below. Then make a change of variable, x = Py, that transforms the quadratic form into one with no cross-product terms. Write the new quadratic form. - 2x; - 6x, - 8x - 8x + 4x,x2 + 4XqX3 + 4x,Xq + 4X3%g Classify the given quadratic form. O A. Positive semidefinite B. Negative semidefinite O C. Indefinite O D. Positive definite O E. 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 terms. Write the new quadratic form. - 2x; - 6x, - 8x - 8x + 4x,x2 + 4XqX3 + 4x,Xq + 4X3%g Classify the given quadratic form. O A. Positive semidefinite B. Negative semidefinite O C. Indefinite O D. Positive definite O E. Negative definite The new quadratic form is y' Dy = (Simplify your answer.)
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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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 terms. Write the new
quadratic form.
- 2x; - 6x, - 8x - 8x + 4x,x2 + 4XqX3 + 4x,Xq + 4X3%g
Classify the given quadratic form.
O A. Positive semidefinite
B. Negative semidefinite
O C. Indefinite
O D. Positive definite
O E. Negative definite
The new quadratic form is y' Dy =
(Simplify your answer.)
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