In the (2 × 2) linear systems that follow, the system (B)
Chapter 1, Problem 40E(choose chapter or problem)
In the (2 × 2) linear systems that follow, the system (B) is obtained from (A) by performing the elementary operation E2 + cE1. Prove that any solution, x1 = s1, x2 = s2, for (A) is a solution for (B), Similarly, prove that any solution, x1 = t1, x2 = t2, for (B) is a solution for (A).(A)a11 + a12 x2 = b1 a21 x1 + a22 x2 = b2________________(B) a11 + a12 x2 = b1 (a21+ca11)x11 + (a22 + ca12)x2 = b2 + cb1
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