Answer the given question with a proper explanation and step-by-step solution. Please provide the answer using the math tool otherwise I give the downvote. Make a change of variable, x= Py, that transforms the quadratic form x² + 10x₁x₂ + x₂ into a quadratic form with no cross-product term.Give P and the new quadratic form.V²√2V²√2V² √²√2 √2The corresponding quadratic form is y¹ Dy =V²V²√2 √2V²√2V²√√2

The quadratic form is .To Find:Using the change of variable transform the given quadratic form into…

Answered: Make a change of variable, x = Py, that…

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 quadratic form x² + 10×₁×₂ +> into a quadratic form with no cross-product term Give P and the new quadratic form.