DP Further Mathematics HL Questionbank
Proofs of the uniqueness of the identity and inverse elements.
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Description
[N/A]Directly related questions
- 18M.2.hl.TZ0.6c: State which elements of S are self-inverse with respect to \( * \).
- 18M.2.hl.TZ0.6b: Show that every element of S has an inverse with respect to \( * \).
- 18M.2.hl.TZ0.6a: Find the identity element of S with respect to \( * \).
- 16M.2.hl.TZ0.6e: (i) Find the inverse of \(a + b\sqrt 2 \). (ii) Hence show that \({a^2} - 2{b^2}\)...
- 16M.2.hl.TZ0.6d: Show that the subset, \(G\), of elements of \(J\) which have inverses, forms a group of infinite...
- 16M.2.hl.TZ0.6c: Show that (i) \(1 - \sqrt 2 \) has an inverse in \(J\); (ii) \(2 + 4\sqrt 2 \) has no...
- 16M.2.hl.TZ0.6b: State the identity in \(J\).
