As has been already elucidated in mathematical description (see section 2.2.5.), we start with a high dimensional dataset (represented by a 6 × 2𝑁 $ matrix) and the application of the LDA projects this dataset into a 1 × 2𝑁 $ space; in other words, application of the LDA leads to two highly separated data clusters (each having Nd number datapoints) projected on a 1D line.