DP Further Mathematics HL Questionbank
4.10
Description
[N/A]Directly related questions
- 16M.2.hl.TZ0.8a: (i) Show that the order of \({S_n}\) is \(n!\); (ii) List the 6 elements of \({S_3}\) in...
- 16M.2.hl.TZ0.8c: (i) Use mathematical induction to prove...
- 16M.2.hl.TZ0.8b: (i) Write down the matrices M\(_1\), M\(_2\) representing the permutations...
- 17M.1.hl.TZ0.6c: The permutation group \(G\) is generated by \(P\). Determine the element of \(G\) that is of...
- 17M.1.hl.TZ0.6b: Find \({P^2}\).
- 17M.1.hl.TZ0.6a: Determine the order of \(P\), justifying your answer.
Sub sections and their related questions
Permutations under composition of permutations.
- 16M.2.hl.TZ0.8a: (i) Show that the order of \({S_n}\) is \(n!\); (ii) List the 6 elements of \({S_3}\) in...
- 16M.2.hl.TZ0.8b: (i) Write down the matrices M\(_1\), M\(_2\) representing the permutations...
- 16M.2.hl.TZ0.8c: (i) Use mathematical induction to prove...
Cycle notation for permutations.
- 16M.2.hl.TZ0.8a: (i) Show that the order of \({S_n}\) is \(n!\); (ii) List the 6 elements of \({S_3}\) in...
- 16M.2.hl.TZ0.8b: (i) Write down the matrices M\(_1\), M\(_2\) representing the permutations...
- 16M.2.hl.TZ0.8c: (i) Use mathematical induction to prove...
Result that every permutation can be written as a composition of disjoint cycles.
- 16M.2.hl.TZ0.8a: (i) Show that the order of \({S_n}\) is \(n!\); (ii) List the 6 elements of \({S_3}\) in...
- 16M.2.hl.TZ0.8b: (i) Write down the matrices M\(_1\), M\(_2\) representing the permutations...
- 16M.2.hl.TZ0.8c: (i) Use mathematical induction to prove...
