The transpose of a matrix M (often written MT) is the matrix reflected along its diagonal. That is given a matrix Mjk, its transpose is MTst = Mts. For example.
| matrix M | transpose MT | ||||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 1 | 4 | 7 | ||
| 4 | 5 | 6 | 2 | 5 | 8 | ||
| 7 | 8 | 9 | 3 | 6 | 9 | ||
Used in Chap. 7: page 100; Chap. 8: page 119; Chap. 19: page 324