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Feb 19, 2018 at 8:36 comment added gallickgunner @ManhNguyenHuu - Nathan is correct. Your quote doesn't imply anything about from which space does "a' transforms to. IF you construct a matrix with the rows or columns as the basis vectors and multiply it with the vector of that space it will give you the world space representation of that vector
Feb 18, 2018 at 18:24 comment added Manh Nguyen Huu I dont think that's the case. From what I read in 3D Math Primer and here I quote it: "If we interpret the rows of a matrix as the basis vectors of a coordinate space, then multiplication by the matrix performs a coordinate space transformation. If aM=b, we say that M transformed a to b.", then the way I was building the matrix was correct. 3D Math Primer use row matrices.
Feb 17, 2018 at 23:27 history answered Nathan Reed CC BY-SA 3.0