Construct a linear fractional transformation that takes the given points Z₁, Z₂, and 23 onto the given points W₁, W₂ and Z₁ = 1, Z₂ = 1₁ Z3 = -1; W₁ = 1, W₂ = 0, W3 = 4 T(z) = (z+1)(-6) (z - 6) X W3, respectively.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Construct a linear fractional transformation that takes the given points Z₁, Z₂, and 23 onto the given points W₁, W₂
and
Z₁ = 1, Z₂ = 1₁ Z3 = -1; W₁ = 1, W₂ = 0, W3 = 4
T(z) =
(z+1)(-6)
(z - 6)
X
W3, respectively.
Transcribed Image Text:Construct a linear fractional transformation that takes the given points Z₁, Z₂, and 23 onto the given points W₁, W₂ and Z₁ = 1, Z₂ = 1₁ Z3 = -1; W₁ = 1, W₂ = 0, W3 = 4 T(z) = (z+1)(-6) (z - 6) X W3, respectively.
Construct a linear fractional transformation that takes the given points Z₁, Z₂, and 23 onto the given points W₁, W₂
and
Z₁ = -1, Z₂ = 0₁ Z3 = 6; W₁ = 0, W₂ = 1, W3 = ∞
:-)
T(z) =
5[ (iz i) + (z + i)(-2i+2)]
(iz-i) – (z + i)(-2i+2)
+
W3¹
respectively.
Transcribed Image Text:Construct a linear fractional transformation that takes the given points Z₁, Z₂, and 23 onto the given points W₁, W₂ and Z₁ = -1, Z₂ = 0₁ Z3 = 6; W₁ = 0, W₂ = 1, W3 = ∞ :-) T(z) = 5[ (iz i) + (z + i)(-2i+2)] (iz-i) – (z + i)(-2i+2) + W3¹ respectively.
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