Given a system of the form−m1x1 + x2 = b1−m2x1 + x2 = b2where m1, m2, b1, and b2 are constants:(a) Show that the system will have a unique solutionif m1 /= m2.(b) Show that if m1 = m2, then the system will beconsistent only if b1 = b2.(c) Give a geometric interpretation of parts (a) and(b).
Given a system of the form−m1x1 + x2 = b1−m2x1 + x2 = b2where m1, m2, b1, and b2 are constants:(a) Show that the system will have a unique solutionif m1 /= m2.(b) Show that if m1 = m2, then the system will beconsistent only if b1 = b2.(c) Give a geometric interpretation of parts (a) and(b).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 6CM
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Given a system of the form
−m1x1 + x2 = b1
−m2x1 + x2 = b2
where m1, m2, b1, and b2 are constants:
(a) Show that the system will have a unique solution
if m1 /= m2.
(b) Show that if m1 = m2, then the system will be
consistent only if b1 = b2.
(c) Give a geometric interpretation of parts (a) and
(b).
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