Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product terms. -2x-2x3-8x1x2 +14x₁x3+14x₁x4 +14x₂x3 + 14x2x4-12x3x4 Construct P For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the answer box below, separated with commas.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 16CR
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Problem #7: Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product
terms.
-2x-2x3-8x1x2 + 14x1x3 + 14x1x4 +14x₂x3 + 14x2x4-12x3x4
Construct P
For the associated quadratic form, enter the eigenvalues in decreasing order (including multiplicities) into the
answer box below, separated with commas.
Transcribed Image Text:Problem #7: Make a change of variable, x = Py, that transforms the following quadratic form into one with no cross-product terms. -2x-2x3-8x1x2 + 14x1x3 + 14x1x4 +14x₂x3 + 14x2x4-12x3x4 Construct P 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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