Matrix Similarity
In linear algebra, two n-by-n matrices A and B are called similar if
for some invertible n-by-n matrix P. Similar matrices represent the same linear transformation under two different bases, with P being the change of basis matrix.
The matrix P is sometimes called a similarity transformation. In the context of matrix groups, similarity is sometimes referred to as conjugacy, with similar matrices being conjugate.
Read more about Matrix Similarity: Properties
Famous quotes containing the words matrix and/or similarity:
“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)
“Incompatibility. In matrimony a similarity of tastes, particularly the taste for domination.”
—Ambrose Bierce (18421914)