Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product terms. -6x - 6x2 - 6x3- 6x-4x₁x3 + 24x1x4 +24x2x3 − 4x2x4 Construct P For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the answer box below, separated with commas.
Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product terms. -6x - 6x2 - 6x3- 6x-4x₁x3 + 24x1x4 +24x2x3 − 4x2x4 Construct P 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
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