diff --git a/src/interface.jl b/src/interface.jl
index 74f9490..33dd132 100644
--- a/src/interface.jl
+++ b/src/interface.jl
@@ -281,6 +281,37 @@ function mutability(x, op, args::Vararg{Any,N}) where {N}
     return mutability(typeof(x), op, typeof.(args)...)
 end
 
+# As a special case, we need to check that the shapes of matrix multiplication
+# match in order for the array to be mutable.
+function mutability(
+    x::AbstractArray,
+    op::typeof(*),
+    args::Vararg{Any,N},
+) where {N}
+    is_mutable = mutability(typeof(x), op, typeof.(args)...) == IsMutable()
+    if is_mutable && size(x) == _size_after_multiply(size.(args)...)
+        return IsMutable()
+    end
+    return IsNotMutable()
+end
+
+function _size_after_multiply(x::NTuple{M,Int}, y::NTuple{N,Int}) where {N,M}
+    if x[end] != y[1]
+        return nothing
+    end
+    return (x[1:end-1]..., y[2:end]...)
+end
+
+_size_after_multiply(::Tuple{}, rhs::NTuple{M,Int}) where {M} = rhs
+_size_after_multiply(lhs::NTuple{M,Int}, ::Tuple{}) where {M} = lhs
+_size_after_multiply(::Tuple{}, ::Tuple{}) = ()
+_size_after_multiply(::Nothing, ::Any) = nothing
+
+function _size_after_multiply(x::NTuple{M,Int}, y::Vararg{Any,N}) where {N,M}
+    head = _size_after_multiply(x, Base.first(y))
+    return _size_after_multiply(head, Base.tail(y)...)
+end
+
 mutability(::Type) = IsNotMutable()
 
 """
diff --git a/test/interface.jl b/test/interface.jl
index aed08ec..bf75d10 100644
--- a/test/interface.jl
+++ b/test/interface.jl
@@ -187,3 +187,22 @@ end
         end
     end
 end
+
+@testset "issue_271_mutability" begin
+    a = 1
+    x = [1; 2;;]
+    y = [1 2; 3 4]
+    z = [1 2; 3 4; 5 6]
+    @test MA.mutability(x, *, x, x') == MA.IsNotMutable()
+    @test MA.mutability(x, *, x', x) == MA.IsNotMutable()
+    @test MA.mutability(x, *, x, a, x') == MA.IsNotMutable()
+    @test MA.mutability(x, *, x', a, x) == MA.IsNotMutable()
+    @test MA.mutability(y, *, y, y) == MA.IsMutable()
+    @test MA.mutability(y, *, y, y, y) == MA.IsMutable()
+    @test MA.mutability(y, *, y, a, y') == MA.IsMutable()
+    @test MA.mutability(y, *, y', a, y) == MA.IsMutable()
+    @test MA.mutability(y, *, a, a, y) == MA.IsMutable()
+    @test MA.mutability(y, *, y, z', z) == MA.IsMutable()
+    @test MA.mutability(z, *, z, z) == MA.IsNotMutable()
+    @test MA.mutability(z, *, z, z, y) == MA.IsNotMutable()
+end
diff --git a/test/matmul.jl b/test/matmul.jl
index 339b87e..029edcc 100644
--- a/test/matmul.jl
+++ b/test/matmul.jl
@@ -142,11 +142,11 @@ end
         @test MA.mul(A, x) == BigInt[3; 3; 3]
         @test MA.mul_to!!(y, A, x) == BigInt[3; 3; 3] && y == BigInt[3; 3; 3]
         @test_throws DimensionMismatch MA.mul(BigInt[1 1; 1 1], BigInt[])
-        @test_throws DimensionMismatch MA.mul_to!!(
-            BigInt[],
-            BigInt[1 1; 1 1],
-            BigInt[1; 1],
-        )
+        @test MA.mul_to!!(BigInt[], BigInt[1 1; 1 1], BigInt[1; 1]) ==
+              BigInt[2, 2]
+        z = BigInt[0, 0]
+        @test MA.mul_to!!(z, BigInt[1 1; 1 1], BigInt[1; 1]) === z
+        @test z == BigInt[2, 2]
 
         @testset "mutability" begin
             alloc_test(() -> MA.promote_operation(*, typeof(A), typeof(x)), 0)
@@ -219,11 +219,11 @@ end
             BigInt[1 1; 1 1],
             zeros(BigInt, 1, 1),
         )
-        @test_throws DimensionMismatch MA.mul_to!!(
+        @test MA.mul_to!!(
             zeros(BigInt, 1, 1),
             BigInt[1 1; 1 1],
             zeros(BigInt, 2, 1),
-        )
+        ) == zeros(BigInt, 2, 1)
 
         @testset "mutability" begin
             alloc_test(() -> MA.promote_operation(*, typeof(A), typeof(B)), 0)
@@ -422,3 +422,16 @@ Base.:*(m::Monomial, ::Monomial) = m
         @test T == typeof(MA.operate(*, a, b))
     end
 end
+
+@testset "Issue_271" begin
+    A = reshape([1, 2], (2, 1))
+    B = [1 2]
+    C = MA.operate!!(*, A, B)
+    @test A == reshape([1, 2], (2, 1))
+    @test B == [1 2]
+    @test C == A * B
+    D = MA.operate!!(*, B, A)
+    @test A == reshape([1, 2], (2, 1))
+    @test B == [1 2]
+    @test D == B * A
+end