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- Shift_matrix abstract "In mathematics, a shift matrix is a binary matrix with ones only on the superdiagonal or subdiagonal, and zeroes elsewhere. A shift matrix U with ones on the superdiagonal is an upper shift matrix.The alternative subdiagonal matrix L is unsurprisingly known as a lower shift matrix. The (i,j):th component of U and L arewhere is the Kronecker delta symbol.For example, the 5×5 shift matrices areClearly, the transpose of a lower shift matrix is an upper shift matrix and vice versa.Premultiplying a matrix A by a lower shift matrix results in the elements of A being shifted downward by one position, with zeroes appearing in the top row. Postmultiplication by a lower shift matrix results in a shift left.Similar operations involving an upper shift matrix result in the opposite shift.Clearly all shift matrices are nilpotent; an n by n shift matrix S becomes the null matrix when raised to the power of its dimension n.".
- Shift_matrix wikiPageExternalLink Shift_Matrix.
- Shift_matrix wikiPageID "7864525".
- Shift_matrix wikiPageRevisionID "602516505".
- Shift_matrix hasPhotoCollection Shift_matrix.
- Shift_matrix subject Category:Matrices.
- Shift_matrix subject Category:Sparse_matrices.
- Shift_matrix type Abstraction100002137.
- Shift_matrix type Arrangement107938773.
- Shift_matrix type Array107939382.
- Shift_matrix type Group100031264.
- Shift_matrix type Matrices.
- Shift_matrix type Matrix108267640.
- Shift_matrix type SparseMatrices.
- Shift_matrix comment "In mathematics, a shift matrix is a binary matrix with ones only on the superdiagonal or subdiagonal, and zeroes elsewhere. A shift matrix U with ones on the superdiagonal is an upper shift matrix.The alternative subdiagonal matrix L is unsurprisingly known as a lower shift matrix.".
- Shift_matrix label "Shift matrix".
- Shift_matrix label "Матрица сдвига".
- Shift_matrix sameAs m.026grrw.
- Shift_matrix sameAs Q7496248.
- Shift_matrix sameAs Q7496248.
- Shift_matrix sameAs Shift_matrix.
- Shift_matrix wasDerivedFrom Shift_matrix?oldid=602516505.
- Shift_matrix isPrimaryTopicOf Shift_matrix.