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Symmetric(sparse(A)) * X' yields MethodError on 1.11 and 1.12.3 #662

@timholy

Description

@timholy
julia> using LinearAlgebra, SparseArrays

julia> sparse([4.0 2.0; 2.0 3.0]) * rand(1, 2)'
2×1 Matrix{Float64}:
 0.2695554566531757
 0.1706769017521641

julia> Symmetric(sparse([4.0 2.0; 2.0 3.0])) * rand(1, 2)'
ERROR: MethodError: no method matching _generic_matmatmul!(::Matrix{…}, ::Char, ::Char, ::Symmetric{…}, ::Transpose{…}, ::LinearAlgebra.MulAddMul{…})
The function `_generic_matmatmul!` exists, but no method is defined for this combination of argument types.

Closest candidates are:
  _generic_matmatmul!(::AbstractVecOrMat{R}, ::AbstractVecOrMat, ::AbstractVecOrMat, ::Number, ::Number) where R
   @ LinearAlgebra ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1018
  _generic_matmatmul!(::AbstractVecOrMat, ::AbstractVecOrMat, ::AbstractVecOrMat, ::LinearAlgebra.MulAddMul)
   @ LinearAlgebra ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:1015

Stacktrace:
  [1] macro expansion
    @ ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/generic.jl:100 [inlined]
  [2] spdensemul!(C::Matrix{Float64}, tA::LinearAlgebra.WrapperChar, tB::Char, A::SparseMatrixCSC{Float64, Int64}, B::Matrix{Float64}, alpha::Bool, beta::Bool)
    @ SparseArrays ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:72
  [3] generic_matmatmul!
    @ ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/SparseArrays/src/linalg.jl:50 [inlined]
  [4] generic_matmatmul_wrapper!(C::Matrix{Float64}, tA::LinearAlgebra.WrapperChar, tB::Char, A::SparseMatrixCSC{Float64, Int64}, B::Matrix{Float64}, α::Bool, β::Bool, val::Any)
    @ LinearAlgebra ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:343
  [5] _mul!
    @ ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:328 [inlined]
  [6] mul!
    @ ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:297 [inlined]
  [7] mul!(C::Matrix{Float64}, A::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, B::Adjoint{Float64, Matrix{Float64}})
    @ LinearAlgebra ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:265
  [8] mul(A::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, B::Adjoint{Float64, Matrix{Float64}})
    @ LinearAlgebra ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:118
  [9] *(A::Symmetric{Float64, SparseMatrixCSC{Float64, Int64}}, B::Adjoint{Float64, Matrix{Float64}})
    @ LinearAlgebra ~/.julia/juliaup/julia-1.12.3+0.x64.linux.gnu/share/julia/stdlib/v1.12/LinearAlgebra/src/matmul.jl:114
 [10] top-level scope
    @ REPL[16]:1
Some type information was truncated. Use `show(err)` to see complete types.

It works on 1.10, however.

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