Statistic Problems: (-01 0). Let = E M2(C) = —sxL where s = Argue that 6 is a real vector space and find a basis for IL (ii) Show that 4 is a Lie algebra if we set = xy — yx for all x, y E h. (iii) Determine whether 6 is simple.

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Statistic Problems

(-01 0). Let = E M2(C) = —sxL where s = Argue that 6 is a real vector space and find a basis for IL (ii) Show that 4 is a Lie algebra if we set = xy — yx for all x, y E h. (iii) Determine whether 6 is simple.