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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 are
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shift matrix matrices lower displaystyle upper shifts one position zero appearing ldots left clearly properties superdiagonal subdiagonal nilpotent operatorname mathsf
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Shift matrix | is a | binary matrix with ones only on the superdiagonal or subdiagonal | 0.90 | text |
| Shift matrix | is a | upper shift matrix and vice versa.As a linear transformation | 0.90 | text |
| Shift matrix | related to External links | Matrix Reference Manual | 0.60 | section |
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