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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

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

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