Prove the following statement. Your work should be legible, and all your logic should be clear and justified. Suppose A = [a b] . If wu - vc = 0, then the equation A = 0 has more than one solution. [cd] This, in turn, implies that A is not invertible. Hint: First, consider a = b = 0. Then, if a and b are not both zero, consider the vector x = []

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 29E
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Prove the following statement. Your work should be legible, and all your logic should be clear and
justified.
Suppose A
[a b]
C d
If uu - v = = 0, then the equation A = 0 has more than one solution.
This, in turn, implies that A is not invertible.
Hint: First, consider a = b = 0. Then, if a and b are not both zero, consider the vector
=
-67
a
Transcribed Image Text:Prove the following statement. Your work should be legible, and all your logic should be clear and justified. Suppose A [a b] C d If uu - v = = 0, then the equation A = 0 has more than one solution. This, in turn, implies that A is not invertible. Hint: First, consider a = b = 0. Then, if a and b are not both zero, consider the vector = -67 a
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