[10 points】 (Some algebraic properties of quaternions.) Let p,q∈II be quaternions. (a) Show that p+q−p+q. (b) Show th
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[10 points】 (Some algebraic properties of quaternions.) Let p,q∈II be quaternions. (a) Show that p+q−p+q. (b) Show th
[10 points】 (Some algebraic properties of quaternions.) Let p,q∈II be quaternions. (a) Show that p+q−p+q. (b) Show that q4−qˉq. (c) Prove that pq−4p. (Hint: you should not assume that ∣pq∣−∣p∥q∣ here, because we proved this fuct using what we're now trying to show!)
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