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T F 5. To prove the statement: If ab =0 then a = 0 or b = 0, you may assume ab = 0 and a # 0 and then deduce that b = 0. If a = 2 (mod 7), then a² = 4 (mod 7). If a¹ = 4 (mod 7), then a = 2 (mod 7). T T F F 6. 7.

T F 5. To prove the statement: If ab =0 then a = 0 or b = 0, you may assume ab = 0 and a # 0 and then deduce that b = 0. If a = 2 (mod 7), then a² = 4 (mod 7). If a¹ = 4 (mod 7), then a = 2 (mod 7). T T F F 6. 7.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Question 5:** To prove the statement: If \( ab = 0 \) then \( a = 0 \) or \( b = 0 \), you may assume \( ab = 0 \) and \( a \neq 0 \) and then deduce that \( b = 0 \). **True/False: T F** **Question 6:** If \( a \equiv 2 \pmod{7} \), then \( a^2 \equiv 4 \pmod{7} \). **True/False: T F** **Question 7:** If \( a^2 \equiv 4 \pmod{7} \), then \( a \equiv 2 \pmod{7} \). **True/False: T F**
Transcribed Image Text:**Question 5:** To prove the statement: If \( ab = 0 \) then \( a = 0 \) or \( b = 0 \), you may assume \( ab = 0 \) and \( a \neq 0 \) and then deduce that \( b = 0 \). **True/False: T F** **Question 6:** If \( a \equiv 2 \pmod{7} \), then \( a^2 \equiv 4 \pmod{7} \). **True/False: T F** **Question 7:** If \( a^2 \equiv 4 \pmod{7} \), then \( a \equiv 2 \pmod{7} \). **True/False: T F**
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