Why does this table represent all possible sums and products under addition and multipli- cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 +2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hint: Use the properties of modular arithmetic! (a) 2 (b) 5 (c) 7 (d) 9 4. Complete the following exercises from Chapter 5 (page 136): 10, 11, 18, 24
Why does this table represent all possible sums and products under addition and multipli- cation modulo 7? Hint: Think about the remainder classes for modulo 7 arithmetic. 2. Calculate (13, 000 +2)10 (mod 13). 3. Find the remainder of 3456 when divided by the following. Hint: Use the properties of modular arithmetic! (a) 2 (b) 5 (c) 7 (d) 9 4. Complete the following exercises from Chapter 5 (page 136): 10, 11, 18, 24
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 53EQ
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