+3u +5u -u +10u =0 is of 6. Show that the equation 3u -2u +2u-2u -21x₂x3 xqJ₂ x-x₂ elliptic type by determining that the matrix A [see (3.3.2)] has the eigenvalues 1,2₂3, 2₂4 .Determine a transformation (3.3.14) that yields the equation = 6 +30 ₂62 +AU5 u +10u = 0. + 2u + √6 √3 u ܬܪܐ

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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Question
+5Ux2 Ux₂
-u
+10u=0 is of
Kitz
x3x3
6. Show that the equation 3u-2u₂ +2u -2u +3u
xx2
elliptic type by determining that the matrix A [see (3.3.2)] has the eigenvalues
21,2₂3, 2₂4 Determine a transformation (3.3.14) that yields the equation
6
+3162 +41 55 + 2u+ + √2/24
√√6
u +10u = 0.
15
-5545
Transcribed Image Text:+5Ux2 Ux₂ -u +10u=0 is of Kitz x3x3 6. Show that the equation 3u-2u₂ +2u -2u +3u xx2 elliptic type by determining that the matrix A [see (3.3.2)] has the eigenvalues 21,2₂3, 2₂4 Determine a transformation (3.3.14) that yields the equation 6 +3162 +41 55 + 2u+ + √2/24 √√6 u +10u = 0. 15 -5545
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