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.
Definition A square matrix A = [aij] is said to be skew symmetric matrix if Aâ² = â A, that is aji = â aij for all possible values of i and j. Now, if we put i = j, we have aii = â aii. Therefore 2aii = 0 or aii = 0 for all iâs. This means that all the diagonal elements of a skew symmetric matrix are zero.efinition A square matrix A = [aij] is said to be skew symmetric matrix if Aâ² = â A, that is aji = â aij for all possible values of i and j. Now, if we put i = j, we have aii = â aii. Therefore 2aii = 0 or aii = 0 for all iâs. This means that all the diagonal elements of a skew symmetric matrix are zero.