Find Bilinear Transformation that maps the points 𝑧₁=∞, 𝑧₂= 𝑖, 𝑧₃=0 into the points 𝑤₁=0, 𝑤₂=𝑖, 𝑤₃=∞

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Find the Bilinear Transformation which maps the points z1=1, z2= i, z3=-2 to w1=1,w2=i, w3= -1

Find all Mobius ( Bilinear) Transformations which transform half plane 𝐼(𝑧)≥0 into circles |𝑤|≤1 .

#4 || Problem#2 || Bilinear transformation || 𝒛=∞, 𝒊, 𝟎 𝐢𝐧𝐭𝐨 𝝎=−𝟏, −𝒊, 𝟏 || Fixed points ||

Find all the Bilinear Transf. that map the I(z) greater than equal to 0 onto the Unit Circular Disc.

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Find Bilinear Transformation (-1,0,1)→(0,i,3i) with Cross Ratio: Complex Analysis

Find the Bilinear Transformation that maps points 2,i,-2 in z plane into points 1,i,-1 in w plane