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Matrix transpose
Function
| context | $X$ |
| context | $n,k\in\mathbb N$ |
| definition | ${\cdot}^{\ \mathrm{T}}: \mathrm{Matrix}(n,k,X) \to \mathrm{Matrix}(k,n,X) $ |
| postulate | $(A^\mathrm{T})_{ij}=A_{ji} $ |
Discussion
Code
M = {{a, b, c}, {x, y, z}};
TM = Transpose[M];
M // MatrixForm
TM // MatrixForm
<code/Haskell> –$ idris -p contrib import Data.Matrix
m : Matrix 3 2 Nat m = 3,5],[1,5],[2,1
tm : Matrix 2 3 Nat tm = transpose m <code/Haskell>
Reference
Wikipedia: Transpose
Context
