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Syllabus

The inverse ${a^{ - 1}}$ of an element $a$ .

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Topic 8 - Option: Sets, relations and groups » 8.6 » The inverse

${a^{ - 1}}$ of an element

$a$ .

Description

[N/A]

Directly related questions

18M.3srg.hl.TZ0.5a: Prove that $f \circ f$ is the identity function.
17N.3srg.hl.TZ0.4c: Show that 2 is the identity element.
12N.3srg.hl.TZ0.4c: For $x \in G$ find an expression for ${x^{ - 1}}$ (the inverse of x under $*$ ).
15N.3srg.hl.TZ0.3c: Find (i) $p \circ p$ ; (ii) the inverse of $p \circ p$ .
15M.3srg.hl.TZ0.1b: (i) State the inverse of each element. (ii) Determine the order of each element.
14N.3srg.hl.TZ0.5b: Verify that the inverse of $a * {b^{ - 1}}$ is equal to $b * {a^{ - 1}}$ .

Sub sections and their related questions

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