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Clăššify 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 - x, + 6x1x2 - 9x2 What is the most precise classification for the quadratic form? O A. Positive definite B. Negative semidefinite O C. Negative definite O D. Indefinite O E. Positive semidefinite The new quadratic form is y"Dy = |

Clăššify 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 - x, + 6x1x2 - 9x2 What is the most precise classification for the quadratic form? O A. Positive definite B. Negative semidefinite O C. Negative definite O D. Indefinite O E. Positive semidefinite The new quadratic form is y"Dy = |

Advanced Engineering Mathematics
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 -x, + 6x,x2 - 9x What is the most precise classification for the quadratic form? A. Positive definite B. Negative semidefinite O C. Negative definite O D. Indefinite E. Positive semidefinite The new quadratic form is y' Dy = %3!
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. 2 -x, + 6x,x2 - 9x What is the most precise classification for the quadratic form? A. Positive definite B. Negative semidefinite O C. Negative definite O D. Indefinite E. Positive semidefinite The new quadratic form is y' Dy = %3!
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