diff --git a/stdlib/LinearAlgebra/src/generic.jl b/stdlib/LinearAlgebra/src/generic.jl
index bec89c21cda61..b90928c967c81 100644
--- a/stdlib/LinearAlgebra/src/generic.jl
+++ b/stdlib/LinearAlgebra/src/generic.jl
@@ -25,10 +25,23 @@ struct MulAddMul{ais1, bis0, TA, TB}
     beta::TB
 end
 
-MulAddMul(alpha::TA, beta::TB) where {TA, TB} =
-    MulAddMul{isone(alpha), iszero(beta), TA, TB}(alpha, beta)
+@inline function MulAddMul(alpha::TA, beta::TB) where {TA,TB}
+    if isone(alpha)
+        if iszero(beta)
+            return MulAddMul{true,true,TA,TB}(alpha, beta)
+        else
+            return MulAddMul{true,false,TA,TB}(alpha, beta)
+        end
+    else
+        if iszero(beta)
+            return MulAddMul{false,true,TA,TB}(alpha, beta)
+        else
+            return MulAddMul{false,false,TA,TB}(alpha, beta)
+        end
+    end
+end
 
-MulAddMul() = MulAddMul(true, false)
+MulAddMul() = MulAddMul{true,true,Bool,Bool}(true, false)
 
 @inline (::MulAddMul{true})(x) = x
 @inline (p::MulAddMul{false})(x) = x * p.alpha
diff --git a/stdlib/LinearAlgebra/src/matmul.jl b/stdlib/LinearAlgebra/src/matmul.jl
index 1bbd2230c315d..e5c33388a9af0 100644
--- a/stdlib/LinearAlgebra/src/matmul.jl
+++ b/stdlib/LinearAlgebra/src/matmul.jl
@@ -166,7 +166,7 @@ end
 
 @inline function mul!(C::StridedMatrix{T}, A::StridedVecOrMat{T}, B::StridedVecOrMat{T},
                       alpha::Number, beta::Number) where {T<:BlasFloat}
-    return gemm_wrapper!(C, 'N', 'N', A, B, alpha, beta)
+    return gemm_wrapper!(C, 'N', 'N', A, B, MulAddMul(alpha, beta))
 end
 # Complex Matrix times real matrix: We use that it is generally faster to reinterpret the
 # first matrix as a real matrix and carry out real matrix matrix multiply
@@ -307,7 +307,7 @@ lmul!(A, B)
     if A===B
         return syrk_wrapper!(C, 'T', A, alpha, beta)
     else
-        return gemm_wrapper!(C, 'T', 'N', A, B, alpha, beta)
+        return gemm_wrapper!(C, 'T', 'N', A, B, MulAddMul(alpha, beta))
     end
 end
 @inline function mul!(C::AbstractMatrix, transA::Transpose{<:Any,<:AbstractVecOrMat}, B::AbstractVecOrMat,
@@ -322,7 +322,7 @@ end
     if A===B
         return syrk_wrapper!(C, 'N', A, alpha, beta)
     else
-        return gemm_wrapper!(C, 'N', 'T', A, B, alpha, beta)
+        return gemm_wrapper!(C, 'N', 'T', A, B, MulAddMul(alpha, beta))
     end
 end
 # Complex matrix times transposed real matrix. Reinterpret the first matrix to real for efficiency.
@@ -349,7 +349,7 @@ end
                  alpha::Number, beta::Number) where {T<:BlasFloat}
     A = transA.parent
     B = transB.parent
-    return gemm_wrapper!(C, 'T', 'T', A, B, alpha, beta)
+    return gemm_wrapper!(C, 'T', 'T', A, B, MulAddMul(alpha, beta))
 end
 @inline function mul!(C::AbstractMatrix, transA::Transpose{<:Any,<:AbstractVecOrMat}, transB::Transpose{<:Any,<:AbstractVecOrMat},
                  alpha::Number, beta::Number)
@@ -362,7 +362,7 @@ end
                  alpha::Number, beta::Number) where {T<:BlasFloat}
     A = transA.parent
     B = transB.parent
-    return gemm_wrapper!(C, 'T', 'C', A, B, alpha, beta)
+    return gemm_wrapper!(C, 'T', 'C', A, B, MulAddMul(alpha, beta))
 end
 @inline function mul!(C::AbstractMatrix, transA::Transpose{<:Any,<:AbstractVecOrMat}, transB::Adjoint{<:Any,<:AbstractVecOrMat},
                  alpha::Number, beta::Number)
@@ -382,7 +382,7 @@ end
     if A===B
         return herk_wrapper!(C, 'C', A, alpha, beta)
     else
-        return gemm_wrapper!(C, 'C', 'N', A, B, alpha, beta)
+        return gemm_wrapper!(C, 'C', 'N', A, B, MulAddMul(alpha, beta))
     end
 end
 @inline function mul!(C::AbstractMatrix, adjA::Adjoint{<:Any,<:AbstractVecOrMat}, B::AbstractVecOrMat,
@@ -402,7 +402,7 @@ end
     if A === B
         return herk_wrapper!(C, 'N', A, alpha, beta)
     else
-        return gemm_wrapper!(C, 'N', 'C', A, B, alpha, beta)
+        return gemm_wrapper!(C, 'N', 'C', A, B, MulAddMul(alpha, beta))
     end
 end
 @inline function mul!(C::AbstractMatrix, A::AbstractVecOrMat, adjB::Adjoint{<:Any,<:AbstractVecOrMat},
@@ -415,7 +415,7 @@ end
                  alpha::Number, beta::Number) where {T<:BlasFloat}
     A = adjA.parent
     B = adjB.parent
-    return gemm_wrapper!(C, 'C', 'C', A, B, alpha, beta)
+    return gemm_wrapper!(C, 'C', 'C', A, B, MulAddMul(alpha, beta))
 end
 @inline function mul!(C::AbstractMatrix, adjA::Adjoint{<:Any,<:AbstractVecOrMat}, adjB::Adjoint{<:Any,<:AbstractVecOrMat},
                  alpha::Number, beta::Number)
@@ -508,7 +508,7 @@ function syrk_wrapper!(C::StridedMatrix{T}, tA::AbstractChar, A::StridedVecOrMat
             return copytri!(BLAS.syrk!('U', tA, alpha, A, beta, C), 'U')
         end
     end
-    return gemm_wrapper!(C, tA, tAt, A, A, α, β)
+    return gemm_wrapper!(C, tA, tAt, A, A, MulAddMul(α, β))
 end
 
 function herk_wrapper!(C::Union{StridedMatrix{T}, StridedMatrix{Complex{T}}}, tA::AbstractChar, A::Union{StridedVecOrMat{T}, StridedVecOrMat{Complex{T}}},
@@ -547,7 +547,7 @@ function herk_wrapper!(C::Union{StridedMatrix{T}, StridedMatrix{Complex{T}}}, tA
             return copytri!(BLAS.herk!('U', tA, alpha, A, beta, C), 'U', true)
         end
     end
-    return gemm_wrapper!(C, tA, tAt, A, A, α, β)
+    return gemm_wrapper!(C, tA, tAt, A, A, MulAddMul(α, β))
 end
 
 function gemm_wrapper(tA::AbstractChar, tB::AbstractChar,
@@ -561,7 +561,7 @@ end
 
 function gemm_wrapper!(C::StridedVecOrMat{T}, tA::AbstractChar, tB::AbstractChar,
                        A::StridedVecOrMat{T}, B::StridedVecOrMat{T},
-                       α::Number=true, β::Number=false) where {T<:BlasFloat}
+                       _add = MulAddMul()) where {T<:BlasFloat}
     mA, nA = lapack_size(tA, A)
     mB, nB = lapack_size(tB, B)
 
@@ -573,21 +573,21 @@ function gemm_wrapper!(C::StridedVecOrMat{T}, tA::AbstractChar, tB::AbstractChar
         throw(ArgumentError("output matrix must not be aliased with input matrix"))
     end
 
-    if mA == 0 || nA == 0 || nB == 0 || iszero(α)
+    if mA == 0 || nA == 0 || nB == 0 || iszero(_add.alpha)
         if size(C) != (mA, nB)
             throw(DimensionMismatch("C has dimensions $(size(C)), should have ($mA,$nB)"))
         end
-        return _rmul_or_fill!(C, β)
+        return _rmul_or_fill!(C, _add.beta)
     end
 
     if mA == 2 && nA == 2 && nB == 2
-        return matmul2x2!(C, tA, tB, A, B, MulAddMul(α, β))
+        return matmul2x2!(C, tA, tB, A, B, _add)
     end
     if mA == 3 && nA == 3 && nB == 3
-        return matmul3x3!(C, tA, tB, A, B, MulAddMul(α, β))
+        return matmul3x3!(C, tA, tB, A, B, _add)
     end
 
-    alpha, beta = promote(α, β, zero(T))
+    alpha, beta = promote(_add.alpha, _add.beta, zero(T))
     if (alpha isa Union{Bool,T} &&
         beta isa Union{Bool,T} &&
         stride(A, 1) == stride(B, 1) == stride(C, 1) == 1 &&
@@ -596,7 +596,7 @@ function gemm_wrapper!(C::StridedVecOrMat{T}, tA::AbstractChar, tB::AbstractChar
         stride(C, 2) >= size(C, 1))
         return BLAS.gemm!(tA, tB, alpha, A, B, beta, C)
     end
-    generic_matmatmul!(C, tA, tB, A, B, MulAddMul(α, β))
+    generic_matmatmul!(C, tA, tB, A, B, _add)
 end
 
 # blas.jl defines matmul for floats; other integer and mixed precision