Prove that any of the elementary operations in Theorem 1
Chapter 1, Problem 41E(choose chapter or problem)
Prove that any of the elementary operations in Theorem 1 applied to system (2) produces an equivalent system. [Hint: To simplify this proof, represent the ith equation in system (2) as = ; so for i = 1, 2, ... , m. With this notation, system (2) has the form of (A), which follows. Next, for exam-ple, if a multiple of c times the jth equation is added to the kth equation, a new system of the form (B) is produced: where = . To show that the operation gives an equivalent system, show that any solution for (A) is a solution for (B), and vice versa.](Reference Theorem 1)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer