DP Mathematics HL Questionbank

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Directly related questions

• 18M.3srg.hl.TZ0.1d: The binary operation multiplication modulo 10, denoted by ×10 , is defined on the set V = {1, 3...
• 18M.3srg.hl.TZ0.1c.ii: Hence show that {T, ×10} is cyclic and write down all its generators.
• 18M.3srg.hl.TZ0.1c.i: Find the order of each element of {T, ×10}.
• 16M.3srg.hl.TZ0.1c: Determine the orders of all the elements of \(\{ S,{\text{ }} * \} \).
• 16N.3srg.hl.TZ0.3b: (i)     State a generator for \(\{ H,{\text{ }} * \} \). (ii)     Write down the elements of...
• 16N.3srg.hl.TZ0.3a: State the possible orders of an element of \(\{ G,{\text{ }} * \} \) and for each order give an...
• SPNone.3srg.hl.TZ0.3a: (i)     Write down the Cayley table for \(\{ G,{\text{ }}{ \times _7}\} \) . (ii)     Determine...
• 13M.3srg.hl.TZ0.2d: Determine the order of each element of \(\{ G,{\text{ }}{ \times _{14}}\} \).
• 11N.3srg.hl.TZ0.1d: Show that \(\{ H,{\text{ }} * \} \) is not cyclic.
• 13N.3srg.hl.TZ0.2a: (i)      Prove that \(G\) is cyclic and state two of its generators. (ii)     Let \(H\) be the...
• 15N.3srg.hl.TZ0.3a: Find the order of \(\{ G,{\text{ }} \circ \} \).