DP Mathematics HL Questionbank
Binary operations.
Description
[N/A]Directly related questions
- 16M.3srg.hl.TZ0.1a: Copy and complete the table.
- 17N.3srg.hl.TZ0.4b.i: Show that the operation \( * \) on the set \(S\) is commutative.
- 17N.3srg.hl.TZ0.4a: Show that \(x * y \in S\) for all \(x,{\text{ }}y \in S\).
- 12M.3srg.hl.TZ0.1b: The Cayley table for the binary operation \( \odot \) defined on the set T = {p, q, r, s, t} is...
- 12N.3srg.hl.TZ0.3b: Construct the Cayley table for \(P(A)\) under \(\Delta \) .
- 12N.3srg.hl.TZ0.4a: Simplify \(\frac{c}{2} * \frac{{3c}}{4}\) .
- 08M.3srg.hl.TZ1.1: (a) Determine whether or not \( * \) is (i) closed, (ii) commutative, (iii) ...
- 08N.3srg.hl.TZ0.2: A binary operation is defined on {−1, 0, 1}...
- 11M.3srg.hl.TZ0.1a: Copy and complete the following operation table.
- 09M.3srg.hl.TZ0.2a: (i) Show that \( * \) is commutative. (ii) Find the identity element. (iii) Find...
- 09M.3srg.hl.TZ0.2b: The binary operation \( \cdot \) is defined on \(\mathbb{R}\) as follows. For any elements a ,...
- 10M.3srg.hl.TZ0.3: (a) Consider the set A = {1, 3, 5, 7} under the binary operation \( * \), where \( * \)...
- 10N.3srg.hl.TZ0.4: Set...
- 13M.3srg.hl.TZ0.2a: Copy and complete the following Cayley table for this binary operation.
- 13M.3srg.hl.TZ0.1a: is closed;
- 11N.3srg.hl.TZ0.1a: Consider the following Cayley table for the set G = {1, 3, 5, 7, 9, 11, 13, 15} under the...
- 14M.3srg.hl.TZ0.1: The binary operation \(\Delta\) is defined on the set \(S =\) {1, 2, 3, 4, 5} by the following...
- 15M.3srg.hl.TZ0.2a: Find the element \(e\) such that \(e * y = y\), for all \(y \in S\).
- 15M.3srg.hl.TZ0.1b: (i) State the inverse of each element. (ii) Determine the order of each element.
