diff --git a/src/default.jl b/src/default.jl
index 13697bd14..48e8a9b1f 100644
--- a/src/default.jl
+++ b/src/default.jl
@@ -159,8 +159,7 @@ function defaultalg(A, b, assump::OperatorAssumptions{Bool})
                (__conditioning(assump) === OperatorCondition.IllConditioned ||
                 __conditioning(assump) === OperatorCondition.WellConditioned)
                 if length(b) <= 10
-                    # DefaultAlgorithmChoice.GenericLUFactorization
-                    DefaultAlgorithmChoice.RFLUFactorization
+                    DefaultAlgorithmChoice.GenericLUFactorization
                 elseif appleaccelerate_isavailable()
                     DefaultAlgorithmChoice.AppleAccelerateLUFactorization
                 elseif (length(b) <= 100 || (isopenblas() && length(b) <= 500) ||
diff --git a/src/factorization.jl b/src/factorization.jl
index 60fe39c66..51431647b 100644
--- a/src/factorization.jl
+++ b/src/factorization.jl
@@ -1020,12 +1020,12 @@ function init_cacheval(alg::NormalCholeskyFactorization, A, b, u, Pl, Pr,
     return ArrayInterface.cholesky_instance(Symmetric(MType{eltype(A), 2}(undef,0,0)), alg.pivot)
 end
 
-const PREALLOCATED_NORMALCHOLESKY = ArrayInterface.cholesky_instance(
+const PREALLOCATED_NORMALCHOLESKY_SYMMETRIC = ArrayInterface.cholesky_instance(
     Symmetric(rand(1, 1)), NoPivot())
 
-function init_cacheval(alg::NormalCholeskyFactorization, A::Matrix, b, u, Pl, Pr,
+function init_cacheval(alg::NormalCholeskyFactorization, A::Matrix{Float64}, b, u, Pl, Pr,
     maxiters::Int, abstol, reltol, verbose::Bool, assumptions::OperatorAssumptions)
-    return PREALLOCATED_NORMALCHOLESKY
+    return PREALLOCATED_NORMALCHOLESKY_SYMMETRIC
 end
 
 function init_cacheval(alg::NormalCholeskyFactorization,