diff --git a/src/stdlibs/LinearAlgebra.jl b/src/stdlibs/LinearAlgebra.jl
index 29a9a28744..33ee380b62 100644
--- a/src/stdlibs/LinearAlgebra.jl
+++ b/src/stdlibs/LinearAlgebra.jl
@@ -397,4 +397,21 @@ function LinearAlgebra._kron!(C::AnyTracedRMatrix, A::AnyTracedRMatrix, B::AnyTr
     return C
 end
 
+LinearAlgebra.transpose(a::AnyTracedRArray) = error("transpose not defined for $(typeof(a)).")
+
+function LinearAlgebra.transpose!(B::AnyTracedRVector, A::AnyTracedRMatrix)
+    LinearAlgebra.check_transpose_axes((size(B,1), size(B,2)), size(A))
+    set_mlir_data!(B, get_mlir_data(Ops.reshape(A, length(B))))
+end
+
+function LinearAlgebra.transpose!(B::AnyTracedRMatrix, A::AnyTracedRVector)
+    LinearAlgebra.check_transpose_axes(size(B), (size(A, 1), size(A, 2)))
+    set_mlir_data!(B, get_mlir_data(Ops.broadcast_in_dim(A, [2], [1, length(A)])))
+end
+
+function LinearAlgebra.transpose!(B::AnyTracedRMatrix, A::AnyTracedRMatrix)
+    LinearAlgebra.check_transpose_axes(size(B), size(A))
+    set_mlir_data!(B, get_mlir_data(Ops.transpose(A, [2,1])))
+end
+
 end
diff --git a/test/integration/linear_algebra.jl b/test/integration/linear_algebra.jl
index cd804d150e..82303b2db9 100644
--- a/test/integration/linear_algebra.jl
+++ b/test/integration/linear_algebra.jl
@@ -183,3 +183,29 @@ end
         end
     end
 end
+
+@testset "transpose!" begin
+    v = zeros(5)
+    M = rand(1, 5)
+    v_ra = Reactant.to_rarray(v)
+    M_ra = Reactant.to_rarray(M)
+    
+    @jit transpose!(v_ra, M_ra)
+    @test v_ra ≈ transpose!(v, M)
+
+    v = rand(7)
+    M = zeros(1, 7)
+    v_ra = Reactant.to_rarray(v)
+    M_ra = Reactant.to_rarray(M)
+    
+    @jit transpose!(M_ra, v_ra)
+    @test M_ra ≈ transpose!(M, v)
+
+    A = rand(3, 7)
+    B = rand(7, 3)
+    A_ra = Reactant.to_rarray(A)
+    B_ra = Reactant.to_rarray(B)
+    @jit transpose!(B_ra, A_ra)
+    @test B_ra ≈ transpose!(B, A)
+end
+