7: Make a change of variable, : - Py, that transforms the following quadratic form into one with no cross-product terms. x+x-6x1x2-14x1x3-14x1x4-14x2x3-14x2x4-4x3x4 Construct P using the methods of Section 7.1. For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the answer box below, separated with commas.
7: Make a change of variable, : - Py, that transforms the following quadratic form into one with no cross-product terms. x+x-6x1x2-14x1x3-14x1x4-14x2x3-14x2x4-4x3x4 Construct P using the methods of Section 7.1. For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the answer box below, separated with commas.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 54EQ
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![7: Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product
terms.
x²+x²-6x1x2-14x1x3-14x1x4-14x2x3 - 14x2x4 — 4x3x4
Construct P using the methods of Section 7.1.
For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the
answer box below, separated with commas.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff76dba93-23d2-47f1-b92c-ad2c0bf14e16%2F73aff99c-9df8-4258-8b3c-289c3049e9b0%2Fu87246d_processed.png&w=3840&q=75)
Transcribed Image Text:7: Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product
terms.
x²+x²-6x1x2-14x1x3-14x1x4-14x2x3 - 14x2x4 — 4x3x4
Construct P using the methods of Section 7.1.
For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the
answer box below, separated with commas.
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