Construct a linear fractional transformation that takes the given points z T(z) = and 23 Z₁ Z₂₁ Z₁ = 1₁ Z₂ = 1₁ 23 = -1; W₁ = −1, W₂ = 0, W3 = 4 onto the given points w '1' W₂¹ and w₂, respectively.
Construct a linear fractional transformation that takes the given points z T(z) = and 23 Z₁ Z₂₁ Z₁ = 1₁ Z₂ = 1₁ 23 = -1; W₁ = −1, W₂ = 0, W3 = 4 onto the given points w '1' W₂¹ and w₂, respectively.
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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Question

Transcribed Image Text:Construct a linear fractional transformation that takes the given points z
T(z) =
and 23
Z₁ Z₂₁
Z₁ = 1₁ Z₂ = 1₁ 23 = -1; W₁ = −1, W₂ = 0, W3 = 4
onto the given points w
'1'
W₂¹
and w₂, respectively.

Transcribed Image Text:Construct a linear fractional transformation that takes the given points Z₁ Z₂ and 23 onto the given points W₁ W₂² and w, respectively.
Z₁ = -1, Z₂ = 0, Z₂ = 6; W₁ = 0, W₂ = 1, W₂ = ∞
T(z) =
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