diff --git a/stdlib/LinearAlgebra/src/bidiag.jl b/stdlib/LinearAlgebra/src/bidiag.jl
index 323edd5ad45c6..145cce562991f 100644
--- a/stdlib/LinearAlgebra/src/bidiag.jl
+++ b/stdlib/LinearAlgebra/src/bidiag.jl
@@ -275,8 +275,6 @@ for func in (:conj, :copy, :real, :imag)
     @eval ($func)(M::Bidiagonal) = Bidiagonal(($func)(M.dv), ($func)(M.ev), M.uplo)
 end
 
-adjoint(B::Bidiagonal) = Adjoint(B)
-transpose(B::Bidiagonal) = Transpose(B)
 adjoint(B::Bidiagonal{<:Number}) = Bidiagonal(conj(B.dv), conj(B.ev), B.uplo == 'U' ? :L : :U)
 transpose(B::Bidiagonal{<:Number}) = Bidiagonal(B.dv, B.ev, B.uplo == 'U' ? :L : :U)
 permutedims(B::Bidiagonal) = Bidiagonal(B.dv, B.ev, B.uplo == 'U' ? 'L' : 'U')
diff --git a/stdlib/LinearAlgebra/src/tridiag.jl b/stdlib/LinearAlgebra/src/tridiag.jl
index 431e349d42da2..9403b44538b11 100644
--- a/stdlib/LinearAlgebra/src/tridiag.jl
+++ b/stdlib/LinearAlgebra/src/tridiag.jl
@@ -167,7 +167,6 @@ end
 
 transpose(S::SymTridiagonal) = S
 adjoint(S::SymTridiagonal{<:Real}) = S
-adjoint(S::SymTridiagonal) = Adjoint(S)
 permutedims(S::SymTridiagonal) = S
 function permutedims(S::SymTridiagonal, perm)
     Base.checkdims_perm(S, S, perm)
@@ -616,8 +615,6 @@ for func in (:conj, :copy, :real, :imag)
     end
 end
 
-adjoint(S::Tridiagonal) = Adjoint(S)
-transpose(S::Tridiagonal) = Transpose(S)
 adjoint(S::Tridiagonal{<:Real}) = Tridiagonal(S.du, S.d, S.dl)
 transpose(S::Tridiagonal{<:Number}) = Tridiagonal(S.du, S.d, S.dl)
 permutedims(T::Tridiagonal) = Tridiagonal(T.du, T.d, T.dl)