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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. Write the net quadratic form. - x; - 3x - 5x3 - 5x - 2x,x2 + 2x,×3 + 2x,X4 + 4X3X4 Classify the given quadratic form. O A. Negative definite B. Indefinite C. Positive semidefinite 'D. Negative semidefinite O E. Positive 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 net quadratic form. - x; - 3x - 5x3 - 5x - 2x,x2 + 2x,×3 + 2x,X4 + 4X3X4 Classify the given quadratic form. O A. Negative definite B. Indefinite C. Positive semidefinite 'D. Negative semidefinite O E. Positive definite The new quadratic form is y'Dy = (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. Write the new quadratic form. -x; - 3x - 5x3 - 5x - 2x, x2 + 2x,x3 + 2x,×4 + 4x3×4 Classify the given quadratic form. O A. Negative definite B. Indefinite C. Positive semidefinite 'D. Negative semidefinite O E. Positive definite The new quadratic form is y' Dy = (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. Write the new quadratic form. -x; - 3x - 5x3 - 5x - 2x, x2 + 2x,x3 + 2x,×4 + 4x3×4 Classify the given quadratic form. O A. Negative definite B. Indefinite C. Positive semidefinite 'D. Negative semidefinite O E. Positive definite The new quadratic form is y' Dy = (Simplify your answer.)
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