Identity Matrix
The simplest possible substitution matrix would be one in which each amino acid is considered maximally similar to itself, but not able to transform into any other amino acid. This matrix would look like:

This identity matrix will succeed in the alignment of very similar amino acid sequences but will be miserable at aligning two distantly related sequences. We need to figure out all the probabilities in a more rigorous fashion. It turns out that an empirical examination of previously aligned sequences works best.
Read more about this topic: Substitution Matrix
Famous quotes containing the words identity and/or matrix:
“Growing has no connection with audience. / Audience has no
connection with identity. / Identity has no
connection with a universe. / A universe has no
connection with human nature.”
—Gertrude Stein (18741946)
“In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.”
—Salvador Minuchin (20th century)