3. Consider the quadratic form Q(x) = x² + 5x₁x₂ + x² + 3r3. Find its diagonal form.
3. Consider the quadratic form Q(x) = x² + 5x₁x₂ + x² + 3r3. Find its diagonal form.
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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Transcribed Image Text:3. Consider the quadratic form Q(x) = x² + 5x₁x₂ + x² + 3x3. Find its diagonal form.
4. Determine if the quadratic form 2r2 + 12x1x2 + 4x² is positive definite, positive semidefinite, negative
definite, negative semidefinite or indefinite.
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