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Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-pro term. Give P and the new quadratic form. 15) Q(x) = 4x +7x3+4x1x2 2 + 12x2² + 5x² + 20x1x2 + 8x1×3 + 12×2×3 16) Q(x) = 13x + 15) 16)

Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-pro term. Give P and the new quadratic form. 15) Q(x) = 4x +7x3+4x1x2 2 + 12x2² + 5x² + 20x1x2 + 8x1×3 + 12×2×3 16) Q(x) = 13x + 15) 16)

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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Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give P and the new quadratic form. 15) Q(x) = 4x + 7x + + 4x1x2 16) Q(x) = 13x² + 12x2 + 5x² + 20x1x2 + 8x1 x3 + 12×2×3 15) 16)
Transcribed Image Text:Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no cross-product term. Give P and the new quadratic form. 15) Q(x) = 4x + 7x + + 4x1x2 16) Q(x) = 13x² + 12x2 + 5x² + 20x1x2 + 8x1 x3 + 12×2×3 15) 16)
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