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Classity 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 - 9x - 9x-4x,x3 + 4x,x3 + 4x, X4 + 6x,x4 Classify the given quadratic form. A. Positive semidefinite OB. Indefinite YC. Negative semidefinite O D. Negative definite OE Positive definite The new quadratic form is y Dy =D (Simplify your answer)

Classity 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 - 9x - 9x-4x,x3 + 4x,x3 + 4x, X4 + 6x,x4 Classify the given quadratic form. A. Positive semidefinite OB. Indefinite YC. Negative semidefinite O D. Negative definite OE Positive definite The new quadratic form is y Dy =D (Simplify your answer)

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 terms Weite the new quadratic form -2x-6x- 9x - 9x - 4x;x2 + 4x;xg +4x;Xq +6xgX Classify the given quadratic form. OA. Positive semidetinite B. Indefinite C. Negative semidefinite O D. Negative definite OE Positive definite The new quadratic form is y Dy =D (Simplify your answer.)
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 Weite the new quadratic form -2x-6x- 9x - 9x - 4x;x2 + 4x;xg +4x;Xq +6xgX Classify the given quadratic form. OA. Positive semidetinite B. Indefinite C. Negative semidefinite O D. Negative definite OE Positive definite The new quadratic form is y Dy =D (Simplify your answer.)
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