diff --git a/Project.toml b/Project.toml
index f3c9e95..176f2bf 100644
--- a/Project.toml
+++ b/Project.toml
@@ -7,6 +7,7 @@ Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
 DataAPI = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
 GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Tables = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
@@ -14,6 +15,7 @@ Tables = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
 [weakdeps]
 Adapt = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
 GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
+LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
 SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 
@@ -22,6 +24,7 @@ StructArraysAdaptExt = "Adapt"
 StructArraysGPUArraysCoreExt = "GPUArraysCore"
 StructArraysSparseArraysExt = "SparseArrays"
 StructArraysStaticArraysExt = "StaticArrays"
+StructArraysLinearAlgebraExt = "LinearAlgebra"
 
 [compat]
 Adapt = "3.4, 4"
diff --git a/ext/StructArraysLinearAlgebraExt.jl b/ext/StructArraysLinearAlgebraExt.jl
new file mode 100644
index 0000000..6699d85
--- /dev/null
+++ b/ext/StructArraysLinearAlgebraExt.jl
@@ -0,0 +1,25 @@
+module StructArraysLinearAlgebraExt
+
+using StructArrays
+using LinearAlgebra
+import LinearAlgebra: mul!
+
+const StructMatrixC{T, A<:AbstractMatrix{T}} = StructArrays.StructMatrix{Complex{T}, @NamedTuple{re::A, im::A}}
+const StructVectorC{T, A<:AbstractVector{T}} = StructArrays.StructVector{Complex{T}, @NamedTuple{re::A, im::A}}
+
+function _mul!(C, A, B, alpha, beta)
+    mul!(C.re, A.re, B.re, alpha, beta)
+    mul!(C.re, A.im, B.im, -alpha, oneunit(beta))
+    mul!(C.im, A.re, B.im, alpha, beta)
+    mul!(C.im, A.im, B.re, alpha, oneunit(beta))
+    C
+end
+
+function mul!(C::StructMatrixC, A::StructMatrixC, B::StructMatrixC, alpha::Number, beta::Number)
+    _mul!(C, A, B, alpha, beta)
+end
+function mul!(C::StructVectorC, A::StructMatrixC, B::StructVectorC, alpha::Number, beta::Number)
+    _mul!(C, A, B, alpha, beta)
+end
+
+end
diff --git a/src/StructArrays.jl b/src/StructArrays.jl
index 7c1b1dd..57058ce 100644
--- a/src/StructArrays.jl
+++ b/src/StructArrays.jl
@@ -30,6 +30,7 @@ end
     include("../ext/StructArraysGPUArraysCoreExt.jl")
     include("../ext/StructArraysSparseArraysExt.jl")
     include("../ext/StructArraysStaticArraysExt.jl")
+    include("../ext/StructArraysLinearAlgebraExt.jl")
 end
 
 end # module
diff --git a/src/structarray.jl b/src/structarray.jl
index d83ccbd..0f13ad4 100644
--- a/src/structarray.jl
+++ b/src/structarray.jl
@@ -106,6 +106,7 @@ _structarray(args::Tuple, ::Tuple) = _structarray(args, nothing)
 _structarray(args::NTuple{N, Any}, names::NTuple{N, Symbol}) where {N} = StructArray(NamedTuple{names}(args))
 
 const StructVector{T, C<:Tup, I} = StructArray{T, 1, C, I}
+const StructMatrix{T, C<:Tup, I} = StructArray{T, 2, C, I}
 StructVector{T}(args...; kwargs...) where {T} = StructArray{T}(args...; kwargs...)
 StructVector(args...; kwargs...) = StructArray(args...; kwargs...)
 
diff --git a/test/runtests.jl b/test/runtests.jl
index 47c1564..83b0b96 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -1206,7 +1206,7 @@ end
 # The following code defines `MyArray1/2/3` with different `BroadcastStyle`s.
 # 1. `MyArray1` and `MyArray1` have `similar` defined.
 #     We use them to simulate `BroadcastStyle` overloading `Base.copyto!`.
-# 2. `MyArray3` has no `similar` defined. 
+# 2. `MyArray3` has no `similar` defined.
 #    We use it to simulate `BroadcastStyle` overloading `Base.copy`.
 # 3. Their resolved style could be summaryized as (`-` means conflict)
 #              |  MyArray1  |  MyArray2  |  MyArray3  |  Array
@@ -1302,7 +1302,7 @@ Base.BroadcastStyle(::Broadcast.ArrayStyle{MyArray2}, S::Broadcast.DefaultArrayS
     f(s) = s .+= 1
     f(s)
     @test (@allocated f(s)) == 0
-    
+
     # issue #185
     A = StructArray(randn(ComplexF64, 3, 3))
     B = randn(ComplexF64, 3, 3)
@@ -1321,7 +1321,7 @@ Base.BroadcastStyle(::Broadcast.ArrayStyle{MyArray2}, S::Broadcast.DefaultArrayS
 
     @testset "ambiguity check" begin
         test_set = Any[StructArray([1;2+im]),
-                    1:2, 
+                    1:2,
                     (1,2),
                     StructArray(@SArray [1;1+2im]),
                     (@SArray [1 2]),
@@ -1550,6 +1550,23 @@ end
     @test Base.IteratorSize(S) == Base.IsInfinite()
 end
 
+@testset "LinearAlgebra" begin
+    @testset "matrix * matrix" begin
+        A = StructArray{ComplexF64}((rand(10,10), rand(10,10)))
+        B = StructArray{ComplexF64}((rand(size(A)...), rand(size(A)...)))
+        MA, MB = Matrix(A), Matrix(B)
+        @test A * B ≈ MA * MB
+        @test mul!(ones(ComplexF64,size(A)), A, B, 2.0, 3.0) ≈ 2 * A * B .+ 3
+    end
+    @testset "matrix * vector" begin
+        A = StructArray{ComplexF64}((rand(10,10), rand(10,10)))
+        v = StructArray{ComplexF64}((rand(size(A,2)), rand(size(A,2))))
+        MA, Mv = Matrix(A), Vector(v)
+        @test A * v ≈ MA * Mv
+        @test mul!(ones(ComplexF64,size(v)), A, v, 2.0, 3.0) ≈ 2 * A * v .+ 3
+    end
+end
+
 @testset "project quality" begin
     Aqua.test_all(StructArrays, ambiguities=(; broken=true))
 end