The trace determinant plane in our textbook (and in We- bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), we have a center point and (2) when τ 2 = 4∆, we have a degenerate node. It does not include the other border case when ∆ = 0. (a) What type of eigenvalues do we have when ∆ = 0 (remember, we found the eigenvalues in terms of τ and ∆ in HW10)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
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The trace determinant plane in our textbook (and in We-
bAssign) includes two border cases: (1) when τ = 0 (and ∆ > 0), we
have a center point and (2) when τ 2 = 4∆, we have a degenerate node.
It does not include the other border case when ∆ = 0.
(a) What type of eigenvalues do we have when ∆ = 0 (remember, we
found the eigenvalues in terms of τ and ∆ in HW10)

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