DP Mathematics HL Questionbank

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Directly related questions

• 18M.3srg.hl.TZ0.4c: Let $f{\text{:}}\,{S_4} \to {S_4}$ be defined by $f\left( p \right) = p \circ p$...
• 16M.3srg.hl.TZ0.3: The group $\{ G,{\text{ }} * \}$ is Abelian and the bijection $f:{\text{ }}G \to G$ is...
• SPNone.3srg.hl.TZ0.4: The groups $\{ K,{\text{ }} * \}$ and $\{ H,{\text{ }} \odot \}$ are defined by the...
• 14M.3srg.hl.TZ0.4b: (i)     Prove that the kernel of $f,{\text{ }}K = {\text{Ker}}(f)$, is closed under the group...
• 14M.3srg.hl.TZ0.4a: Prove that $f({e_G}) = {e_H}$, where ${e_G}$ is the identity element in $G$ and ${e_H}$...
• 15N.3srg.hl.TZ0.5a: Prove that the function $f$ is a homomorphism from the group...
• 14N.3srg.hl.TZ0.4c: Given that $f(x * y) = p$, find $f(y)$.
• 14N.3srg.hl.TZ0.4a: Prove that for all $a \in G,{\text{ }}f({a^{ - 1}}) = {\left( {f(a)} \right)^{ - 1}}$.
• 14N.3srg.hl.TZ0.4b: Let $\{ H,{\text{ }} \circ \}$ be the cyclic group of order seven, and let $p$ be a...