Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+ X2 y. (The coefficient of y2 is negative.)
Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+ X2 y. (The coefficient of y2 is negative.)
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 q = 30x² + (−5)x² + (−120)x1x2.
Determine a change of variables (make sure the coefficient of ₁ is positive)
x₁+
X2
Y1
and
Y2
=
so that
q
y²
x₁+
I2
y. (The coefficient of y² is negative.)
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