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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
icon
Related questions
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 4 steps with 19 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,