Projective Transformations - Bilkent University

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a ij = 0 except for a 11 = a 22 = a 33 = λ) for nonzero λ ∈ K fixes every [x: y : z] ∈ P2K.The group of all diagonal matrices with entry λ∈ K× is isomorphic to K×, and we can make the projective general linear group PGL 3(K) = GL 3(K)/K× act on the projective plane. Its elements are 3 × 3-matrices with nonzero determinant, and two such matrices …

  Linear, Transformation, Matrices, Projective, Projective transformations