diff --git a/src/tracker/lib/array.jl b/src/tracker/lib/array.jl
index 3f47e89c..023f5fa2 100644
--- a/src/tracker/lib/array.jl
+++ b/src/tracker/lib/array.jl
@@ -1,7 +1,7 @@
 import Base: *
 
 import LinearAlgebra
-import LinearAlgebra: inv, \, /
+import LinearAlgebra: inv, det, \, /
 
 using Statistics
 using LinearAlgebra: Transpose, Adjoint, diagm, diag
@@ -124,6 +124,9 @@ Base.adjoint(xs::TrackedArray) = track(adjoint, xs)
 @grad transpose(xs) = transpose(data(xs)), Δ -> (trim(xs, transpose(Δ)),)
 @grad adjoint(xs) = data(xs)', Δ -> (trim(xs, Δ'),)
 
+det(xs::TrackedArray) = track(det, xs)
+@grad det(xs) = det(data(xs)), Δ -> (Δ * transpose(adjoint(xs)),)
+
 Base.repeat(xs::TrackedArray; kw...) = track(repeat, xs; kw...)
 
 @grad function repeat(xs; inner=ntuple(x->1, ndims(xs)), outer=ntuple(x->1, ndims(xs)))