diff --git a/stdlib/LinearAlgebra/src/adjtrans.jl b/stdlib/LinearAlgebra/src/adjtrans.jl
index 46133c6fd9fd46..bf3d6f79ae1766 100644
--- a/stdlib/LinearAlgebra/src/adjtrans.jl
+++ b/stdlib/LinearAlgebra/src/adjtrans.jl
@@ -32,7 +32,7 @@ julia> Adjoint(A)
  9-2im  0+0im
 ```
 """
-struct Adjoint{T,S<:AbstractVecOrMat} <: AbstractMatrix{T}
+struct Adjoint{T,S} <: AbstractMatrix{T}
     parent::S
 end
 """
@@ -59,7 +59,7 @@ julia> Transpose(A)
  3  0
 ```
 """
-struct Transpose{T,S<:AbstractVecOrMat} <: AbstractMatrix{T}
+struct Transpose{T,S} <: AbstractMatrix{T}
     parent::S
 end
 
diff --git a/stdlib/LinearAlgebra/src/lu.jl b/stdlib/LinearAlgebra/src/lu.jl
index da3281946bbf48..0ad9ee2e385ea7 100644
--- a/stdlib/LinearAlgebra/src/lu.jl
+++ b/stdlib/LinearAlgebra/src/lu.jl
@@ -72,10 +72,9 @@ Base.iterate(S::LU, ::Val{:U}) = (S.U, Val(:p))
 Base.iterate(S::LU, ::Val{:p}) = (S.p, Val(:done))
 Base.iterate(S::LU, ::Val{:done}) = nothing
 
-# LU prefers transpose over adjoint in the real case
 adjoint(F::LU) = AdjointFactorization(F)
 transpose(F::LU) = TransposeFactorization(F)
-# override the generic fallback
+# LU prefers transpose over adjoint in the real case, override the generic fallback
 transpose(F::LU{<:Real}) = TransposeFactorization(F)
 
 # StridedMatrix