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Answer by Carl Woll for Expanding a Matrix Vector product in powers of epsilon

Use TensorExpand:$Assumptions = Q ∈ Vectors[3] && P ∈ Vectors[3] && A ∈ Matrices[{3, 3}];TensorExpand[A . (P ϵ+ Q ϵ^2)]ϵ A . P +ϵ^2 A . Q

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Expanding a Matrix Vector product in powers of epsilon

I am attempting a perturbation expansion in Mathematica. As part of this, I would like to expand a matrix-vector product where the vectors are given in powers of epsilon. Eventually, I'd like to...

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