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.
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, matrix A is symmetric if. Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal.So if the entries are written as A = (a ij), then a ij = a ji, for all indices i and j. The following 3Ã3 matrix is symmetric: Every square diagonal matrix is symmetric, since all off-diagonal entries are zero.Similarly, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative. In linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.n linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, matrix A is symmetric if. Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal.