Working with Proofs43. (a) Prove that if ad - bc #0, then the reduced row echelonform ofabdC1(b) Use the result in part (a) to prove that if ad- bc = 0, thenthe linear systemisax + by = kcx + dy = 1has exactly one solution.(i)WΤ1forUs

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Answered: Working with Proofs 43. (a) Prove that…

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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Working with Proofs 43. (a) Prove that if ad - bc #0, then the reduced row echelon form of a b [1][1] is C d (b) Use the result in part (a) to prove that if ad- bc = 0, then the linear system ax + by = k cx + dy = 1 has exactly one solution. (i) W Τ1 for Us