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diff --git a/Data/Matrix/Vec.agda b/Data/Matrix/Vec.agda
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+{-# OPTIONS --without-K --safe #-}
+
+module Data.Matrix.Vec where
+
+open import Relation.Binary.PropositionalEquality using (_≡_)
+open import Level using (Level)
+open import Data.Nat using (ℕ)
+open import Data.Vec using (Vec; replicate; zipWith)
+
+private
+  variable
+    a : Level
+    A : Set a
+    n m : ℕ
+
+open Vec
+
+transpose : Vec (Vec A n) m → Vec (Vec A m) n
+transpose [] = replicate _ []
+transpose (row ∷ mat) = zipWith _∷_ row (transpose mat)