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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 40E
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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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