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Leffe Aut(H) and consider the canonical base {1, i, j, k}. Lef W be the subspace of H generated by the vectors {i, j, k}.

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Leffe Aut(H) and consider the canonical base {1, i, j, k}. Lef W be the subspace of H generated by the vectors {i, j, k}. Show that a) f(W) =W b)f is an isometry of the Euclidean space R4 Note:H are the Hamilton quaternions. Leffe Aut(H) and consider the canonical base {1, i, j, k}. Lef W be the subspace of H generated by the vectors {i, j, k}. Show that a) f(W) =W b)f is an isometry of the Euclidean space R4 Note:H are the Hamilton quaternions

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