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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone please explain to me both of the questions? ASAP??
![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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2F8acc0f1d-b86e-455b-8fac-413aee275b50%2Fyrrwbej_processed.jpeg&w=3840&q=75)
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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