Related matrices of DNA primary sequences based on triplets of nucleic acid bases

We considered constructing three 8-component vectors for a DNA primary sequence using triplets of nucleic acid bases. For two DNA sequences, using the corresponding vectors, we constructed a set of 3 × 3 matrices called the related matrix. The normalized leading eigenvalues from the constructed matrices were selected as invariants to characterize the degree of similarity between the two DNA sequences. Construction of similarity/dissimilarity tables based on this invariant for sequences of DNA of the first exon of the β-globin gene from 11 species illustrates the utility of the newly formulated matrices for DNA.