diff --git a/src/array_interface.jl b/src/array_interface.jl
index ffb7e93f..b1ffd5ec 100644
--- a/src/array_interface.jl
+++ b/src/array_interface.jl
@@ -59,7 +59,6 @@ function Base.vcat(x::AbstractComponentVecOrMat, y::AbstractComponentVecOrMat)
         return ComponentArray(vcat(data_x, data_y), Axis((;idxmap_x..., idxmap_y...)), getaxes(x)[2:end]...)
     end
 end
-Base.vcat(x::CV...) where {CV<:AdjOrTransComponentArray} = ComponentArray(reduce(vcat, map(y->getdata(y.parent)', x)), getaxes(x[1]))
 Base.vcat(x::ComponentVector, args...) = vcat(getdata(x), getdata.(args)...)
 Base.vcat(x::ComponentVector, args::Union{Number, UniformScaling, AbstractVecOrMat}...) = vcat(getdata(x), getdata.(args)...)
 Base.vcat(x::ComponentVector, args::Vararg{AbstractVector{T}, N}) where {T,N} = vcat(getdata(x), getdata.(args)...)
diff --git a/src/broadcasting.jl b/src/broadcasting.jl
index 7a59f3e6..1c21045b 100644
--- a/src/broadcasting.jl
+++ b/src/broadcasting.jl
@@ -1,9 +1,5 @@
 Base.BroadcastStyle(::Type{<:ComponentArray{T, N, A, Axes}}) where {T, N, A, Axes} = Broadcast.BroadcastStyle(A)
 
-# Need special case here for adjoint vectors in order to avoid type instability in axistype
-Broadcast.combine_axes(a::ComponentArray, b::AdjOrTransComponentVector) = (axes(a)[1], axes(b)[2])
-Broadcast.combine_axes(a::AdjOrTransComponentVector, b::ComponentArray) = (axes(b)[2], axes(a)[1])
-
 Broadcast.axistype(a::CombinedAxis, b::AbstractUnitRange) = a
 Broadcast.axistype(a::AbstractUnitRange, b::CombinedAxis) = b
 Broadcast.axistype(a::CombinedAxis, b::CombinedAxis) = CombinedAxis(FlatAxis(), Base.Broadcast.axistype(_array_axis(a), _array_axis(b)))
diff --git a/src/compat/gpuarrays.jl b/src/compat/gpuarrays.jl
index ace99e6a..8fe201d8 100644
--- a/src/compat/gpuarrays.jl
+++ b/src/compat/gpuarrays.jl
@@ -1,6 +1,7 @@
-const GPUComponentArray = ComponentArray{T,N,<:GPUArrays.AbstractGPUArray,Ax} where {T,N,Ax}
-const GPUComponentVector{T,Ax} = ComponentArray{T,1,<:GPUArrays.AbstractGPUVector,Ax}
-const GPUComponentMatrix{T,Ax} = ComponentArray{T,2,<:GPUArrays.AbstractGPUMatrix,Ax}
+const AbstractGPUArrayOrAdj = Union{<:GPUArrays.AbstractGPUArray{T, N}, Adjoint{T, <:GPUArrays.AbstractGPUArray{T, N}}, Transpose{T, <:GPUArrays.AbstractGPUArray{T, N}}} where {T, N}
+const GPUComponentArray = ComponentArray{T,N,<:AbstractGPUArrayOrAdj{T, N},Ax} where {T,N,Ax}
+const GPUComponentVector{T,Ax} = ComponentArray{T,1,<:AbstractGPUArrayOrAdj{T, 1},Ax}
+const GPUComponentMatrix{T,Ax} = ComponentArray{T,2,<:AbstractGPUArrayOrAdj{T, 2},Ax}
 const GPUComponentVecorMat{T,Ax} = Union{GPUComponentVector{T,Ax},GPUComponentMatrix{T,Ax}}
 
 GPUArrays.backend(x::ComponentArray) = GPUArrays.backend(getdata(x))
@@ -25,7 +26,10 @@ end
 
 LinearAlgebra.dot(x::GPUComponentArray, y::GPUComponentArray) = dot(getdata(x), getdata(y))
 LinearAlgebra.norm(ca::GPUComponentArray, p::Real) = norm(getdata(ca), p)
-LinearAlgebra.rmul!(ca::GPUComponentArray, b::Number) = GPUArrays.generic_rmul!(ca, b)
+function LinearAlgebra.rmul!(ca::GPUComponentArray, b::Number)
+    GPUArrays.generic_rmul!(getdata(ca), b)
+    return ca
+end
 
 function Base.map(f, x::GPUComponentArray, args...)
     data = map(f, getdata(x), getdata.(args)...)
@@ -78,196 +82,23 @@ end
 function LinearAlgebra.mul!(C::GPUComponentVecorMat,
     A::GPUComponentVecorMat,
     B::GPUComponentVecorMat, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
+    return GPUArrays.generic_matmatmul!(C, getdata(A), getdata(B), a, b)
 end
 
 function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::GPUComponentVecorMat, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    B::GPUComponentVecorMat, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
+    A::AbstractGPUArrayOrAdj,
     B::GPUComponentVecorMat, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, B::GPUComponentVecorMat,
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    },
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    B::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    },
-    B::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, a::Number, b::Number)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
+    return GPUArrays.generic_matmatmul!(C, A, getdata(B), a, b)
 end
 
 function LinearAlgebra.mul!(C::GPUComponentVecorMat,
     A::GPUComponentVecorMat,
-    B::GPUComponentVecorMat, a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat}, a::Real,
-    b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::GPUComponentVecorMat,
-    B::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::GPUComponentVecorMat, a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    B::GPUComponentVecorMat, a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::GPUComponentVecorMat, a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, B::GPUComponentVecorMat,
-    a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat}, a::Real,
-    b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    },
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    B::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUArrays.AbstractGPUVecOrMat}, a::Real,
-    b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    B::LinearAlgebra.Adjoint{<:Any,<:GPUComponentVecorMat},
-    a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
-function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    B::LinearAlgebra.Transpose{<:Any,<:GPUArrays.AbstractGPUVecOrMat},
-    a::Real, b::Real)
-    return GPUArrays.generic_matmatmul!(C, A, B, a, b)
+    B::AbstractGPUArrayOrAdj, a::Number, b::Number)
+    return GPUArrays.generic_matmatmul!(C, getdata(A), B, a, b)
 end
+
 function LinearAlgebra.mul!(C::GPUComponentVecorMat,
-    A::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    },
-    B::LinearAlgebra.Transpose{<:Any,<:GPUComponentVecorMat
-    }, a::Real, b::Real)
+    A::AbstractGPUArrayOrAdj,
+    B::AbstractGPUArrayOrAdj, a::Number, b::Number)
     return GPUArrays.generic_matmatmul!(C, A, B, a, b)
-end
+end
\ No newline at end of file
diff --git a/src/componentarray.jl b/src/componentarray.jl
index 453dc7ee..1fc581ec 100644
--- a/src/componentarray.jl
+++ b/src/componentarray.jl
@@ -118,17 +118,11 @@ const CArray = ComponentArray
 const CVector = ComponentVector
 const CMatrix = ComponentMatrix
 
-const AdjOrTrans{T, A} = Union{Adjoint{T, A}, Transpose{T, A}}
-const AdjOrTransComponentArray{T, A} = Union{Adjoint{T, A}, Transpose{T, A}} where A<:ComponentArray
-const AdjOrTransComponentVector{T} = Union{Adjoint{T, A}, Transpose{T, A}} where A<:ComponentVector
-const AdjOrTransComponentMatrix{T} = Union{Adjoint{T, A}, Transpose{T, A}} where A<:ComponentMatrix
-
 const ComponentVecOrMat = Union{ComponentVector, ComponentMatrix}
-const AdjOrTransComponentVecOrMat = AdjOrTrans{T, <:ComponentVecOrMat} where T
-const AbstractComponentArray = Union{ComponentArray, AdjOrTransComponentArray}
-const AbstractComponentVecOrMat = Union{ComponentVecOrMat, AdjOrTransComponentVecOrMat}
-const AbstractComponentVector = Union{ComponentVector, AdjOrTransComponentVector}
-const AbstractComponentMatrix = Union{ComponentMatrix, AdjOrTransComponentMatrix}
+const AbstractComponentArray = ComponentArray
+const AbstractComponentVecOrMat = ComponentVecOrMat
+const AbstractComponentVector = ComponentVector
+const AbstractComponentMatrix = ComponentMatrix
 
 
 ## Constructor helpers
@@ -288,12 +282,8 @@ julia> getaxes(ca)
 ```
 """
 @inline getaxes(x::ComponentArray) = getfield(x, :axes)
-@inline getaxes(x::AdjOrTrans{T, <:ComponentVector}) where T = (FlatAxis(), getaxes(x.parent)[1])
-@inline getaxes(x::AdjOrTrans{T, <:ComponentMatrix}) where T = reverse(getaxes(x.parent))
 
 @inline getaxes(::Type{<:ComponentArray{T,N,A,Axes}}) where {T,N,A,Axes} = map(x->x(), (Axes.types...,))
-@inline getaxes(::Type{<:AdjOrTrans{T,CA}}) where {T,CA<:ComponentVector} = (FlatAxis(), getaxes(CA)[1]) |> typeof
-@inline getaxes(::Type{<:AdjOrTrans{T,CA}}) where {T,CA<:ComponentMatrix} = reverse(getaxes(CA)) |> typeof
 
 ## Field access through these functions to reserve dot-getting for keys
 @inline getaxes(x::VarAxes) = getaxes(typeof(x))
diff --git a/src/linear_algebra.jl b/src/linear_algebra.jl
index 5d888e7f..0fa527db 100644
--- a/src/linear_algebra.jl
+++ b/src/linear_algebra.jl
@@ -13,7 +13,6 @@ _first_axis(x::AbstractComponentVecOrMat) = getaxes(x)[1]
 
 _second_axis(x::AbstractMatrix) = FlatAxis()
 _second_axis(x::ComponentMatrix) = getaxes(x)[2]
-_second_axis(x::AdjOrTransComponentVecOrMat) = getaxes(x)[2]
 
 _out_axes(::typeof(*), a, b::AbstractVector) = (_first_axis(a), )
 _out_axes(::typeof(*), a, b::AbstractMatrix) = (_first_axis(a), _second_axis(b))
@@ -27,19 +26,21 @@ for op in [:*, :\, :/]
         function Base.$op(A::AbstractComponentVecOrMat, B::AbstractComponentVecOrMat)
             C = $op(getdata(A), getdata(B))
             ax = _out_axes($op, A, B)
-            return ComponentArray(C, ax)
+            return ComponentArray(C, ax...)
         end
     end
-    for (adj, Adj) in zip([:adjoint, :transpose], [:Adjoint, :Transpose])
-        @eval begin
-            function Base.$op(aᵀ::$Adj{T,<:ComponentVector}, B::AbstractComponentMatrix) where {T}
-                cᵀ = $op(getdata(aᵀ), getdata(B))
-                ax2 = _out_axes($op, aᵀ, B)[2]
-                return $adj(ComponentArray(cᵀ', ax2))
-            end
-            function Base.$op(A::$Adj{T,<:CV}, B::CV) where {T<:Real, CV<:ComponentVector{T}}
-                return $op(getdata(A), getdata(B))
-            end
+end
+
+
+for op in [:adjoint, :transpose]
+    @eval begin
+        function LinearAlgebra.$op(M::ComponentMatrix{T,A,Tuple{Ax1,Ax2}}) where {T,A,Ax1,Ax2}
+            data = $op(getdata(M))
+            return ComponentArray(data, (Ax2(), Ax1())[1:ndims(data)]...)
+        end
+
+        function LinearAlgebra.$op(M::ComponentVector{T,A,Tuple{Ax1}}) where {T,A,Ax1}
+            return ComponentMatrix($op(getdata(M)), FlatAxis(), Ax1())
         end
     end
 end
\ No newline at end of file
diff --git a/src/show.jl b/src/show.jl
index 2a08a47f..dc5d1613 100644
--- a/src/show.jl
+++ b/src/show.jl
@@ -79,4 +79,4 @@ function Base.show(io::IO, ::MIME"text/plain", x::ComponentMatrix{T,A,Axes}) whe
     println(io, " with axes $(axs[1]) × $(axs[2])")
     Base.print_matrix(io, getdata(x))
     return nothing
-end
+end
\ No newline at end of file
diff --git a/test/runtests.jl b/test/runtests.jl
index c1b58c49..b13dfe00 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -28,8 +28,8 @@ ca_composed = ComponentArray(a = 1, b = ca)
 
 ca2 = ComponentArray(nt2)
 
-cmat = ComponentArray(a .* a', ax, ax)
-cmat2 = ca2 .* ca2'
+cmat = ComponentArray(a * a', ax, ax)
+cmat2 = ca2 * ca2'
 
 caa = ComponentArray(a = ca, b = sq_mat)
 
@@ -142,13 +142,13 @@ end
     @test hash(ca) != hash(getdata(ca))
     @test hash(ca, zero(UInt)) != hash(getdata(ca), zero(UInt))
 
-    ab = ComponentArray(a = 1, b = 2)
-    xy = ComponentArray(x = 1, y = 2)
+    ab = ComponentArray(a=1, b=2)
+    xy = ComponentArray(x=1, y=2)
     @test ab != xy
     @test hash(ab) != hash(xy)
     @test hash(ab, zero(UInt)) != hash(xy, zero(UInt))
 
-    @test ab == LVector(a = 1, b = 2)
+    @test ab == LVector(a=1, b=2)
 
     # Issue #117
     kw_fun(; a, b) = a // b
@@ -369,11 +369,11 @@ end
 @testset "Broadcasting" begin
     temp = deepcopy(ca)
     @test eltype(Float32.(ca)) == Float32
-    @test ca .* ca' == cmat
+    @test ca * ca' == cmat
     @test 1 .* (ca .+ ca) == ComponentArray(a .+ a, getaxes(ca))
     @test typeof(ca .+ cmat) == typeof(cmat)
-    @test getaxes(false .* ca .* ca') == (ax, ax)
-    @test getaxes(false .* ca' .* ca) == (ax, ax)
+    @test getaxes(false .* ca * ca') == (ax, ax)
+    @test isa(ca' * ca, Float64)
     @test (vec(temp) .= vec(ca_Float32)) isa ComponentArray
 
     @test_broken getdata(ca_MVector .* ca_MVector) isa MArray
@@ -393,8 +393,8 @@ end
     x1 = ComponentArray(a = [1.1, 2.1], b = [0.1])
     x2 = ComponentArray(a = [1.1, 2.1], b = 0.1)
     x3 = ComponentArray(a = [1.1, 2.1], c = [0.1])
-    xmat = x1 .* x2'
-    x1mat = x1 .* x1'
+    xmat = x1 * x2'
+    x1mat = x1 * x1'
     @test x1 + x2 isa Vector
     @test x1 + x3 isa Vector
     @test x2 + x3 isa Vector
@@ -459,7 +459,7 @@ end
     @test ca * transpose(ca) == collect(cmat)
     @test ca * transpose(ca) == a * transpose(a)
     @test transpose(ca) * ca == transpose(a) * a
-    @test ca' * cmat == ComponentArray(a' * getdata(cmat), getaxes(ca))
+    @test ca' * cmat == ComponentArray(a' * getdata(cmat), FlatAxis(), getaxes(ca)...)
     @test transpose(transpose(cmat)) == cmat
     @test transpose(transpose(ca)) == ca
     @test transpose(ca.c) * cmat[:c, :c] * ca.c isa Number