5. Solve x³x+15= 0 (mod 63). (Don't just list solutions! Consider modulo 7 and 9 then use the Chinese remainder theorem)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 1AEXP
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Question 5 please.

5. Solvex³x+15= 0 (mod 63).
(Don't just list solutions! Consider modulo 7 and 9 then use the Chinese remainder theorem)
6. Prove the (⇒) direction of Corollary 4.16 if the system has a solution, then gcd (n₁, n;)
Transcribed Image Text:5. Solvex³x+15= 0 (mod 63). (Don't just list solutions! Consider modulo 7 and 9 then use the Chinese remainder theorem) 6. Prove the (⇒) direction of Corollary 4.16 if the system has a solution, then gcd (n₁, n;)
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