Pringle History. The Pringle Clan has been recorded since 1270, an early form of the name being Hoppringill. The family held many lands around Galashiels, where the name is first recorded in a charter granted during the reign of Alexander III.
Definition of MATRIX ALGEBRA. : generalized algebra that deals with the operations and relations among matrices.
First: linear transformation vs. matrix. Matrices. A matrix is a rectangular array, in the context of linear algebra the entries are always elements of the ground field (in your case, probably either the real numbers or the complex numbers). An $n\times m$ matrix has $n$ rows and $m$ columns.