1 b1 Suppose A = -1 1 1 and b = b2 x2 %3D %3D 20 10 X3 b3 The condition(s) on b1, b2 and b3 so that the system b is consistent is(are) Ax %3D 3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 33E
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1
3
1
b1
-1 1
and b =
b2
%3D
Suppose A =
1
x2
0 20 10
b3
x3
The condition(s) on b1, b2 and b3 so that the system
b is consistent is(are)
Ax
%3D
(A) b3 = 5b1 + 5b2, b1 + b2 = 0 and b1 = 0
(B) b3 = -5b1 + –5b2
%3D
(C) bz = 5b1 + 5b2
(D) The system is consistent for any b1, b2 and b3
%3D
(E) b3 = 5b1 + 5b2 and b1 + b2 = 0
%3D
Transcribed Image Text:1 3 1 b1 -1 1 and b = b2 %3D Suppose A = 1 x2 0 20 10 b3 x3 The condition(s) on b1, b2 and b3 so that the system b is consistent is(are) Ax %3D (A) b3 = 5b1 + 5b2, b1 + b2 = 0 and b1 = 0 (B) b3 = -5b1 + –5b2 %3D (C) bz = 5b1 + 5b2 (D) The system is consistent for any b1, b2 and b3 %3D (E) b3 = 5b1 + 5b2 and b1 + b2 = 0 %3D
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