Consider the quadratic form ƒ(x1, x2, x3) = x² + x² + 5x² + 2ax1x2 − 2x1x3 + 4x2x3 = x¹Qx
Consider the quadratic form ƒ(x1, x2, x3) = x² + x² + 5x² + 2ax1x2 − 2x1x3 + 4x2x3 = x¹Qx
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:Consider the quadratic form
ƒ(x₁, x2, x3) = x² + x² + 5x² + 2ax1x2 − 2x1 x3 + 4x2x3 = x¹ Qx
(A) What is the matrix Q?
(B) Find the values of the parameter a for which this quadratic form is positive definite,
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