Math Problem Statement
What's the multiplicative inverse of 3 in the ring Z base 7 ?
Solution
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Math Problem Analysis
Mathematical Concepts
Modular Arithmetic
Multiplicative Inverse
Number Theory
Formulas
3x ≡ 1 (mod 7)
Theorems
Theorem: An element a in Z_n has a multiplicative inverse if and only if gcd(a, n) = 1.
Suitable Grade Level
Grades 10-12
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