You ar calling det on the GPU, which in turn calls mapreduce. That kind of functionality is not available within a kernel, where you can only do relatively simple computations. The array allocation in test is also not possible in a kernel. Just hard-code the expression to calculate the determinant of your 3x3 matrix. Or you could try using StaticArrays, which you can allocate in a kernel (since it’s stack based), and it looks like they provide a det method.
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