[B] Find the values of a for which the following system of equations is consistent and has non-trivial solutions. [Give your answers as a1 < a2.] (а — 1)х1 + (3а + 1)х2 + 2ахз (а — 1)х1 + (4а — 2)х, + (а + 3)xз 3D 0 2x1 + (3a + 1)x2 + 3(a – 1)x3 = 0 - - aj = a2 =
[B] Find the values of a for which the following system of equations is consistent and has non-trivial solutions. [Give your answers as a1 < a2.] (а — 1)х1 + (3а + 1)х2 + 2ахз (а — 1)х1 + (4а — 2)х, + (а + 3)xз 3D 0 2x1 + (3a + 1)x2 + 3(a – 1)x3 = 0 - - aj = a2 =
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.CT: Test
Problem 21CT
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Question
![[B] Find the values of a for which the
following system of equations is consistent
and has non-trivial solutions.
[Give your answers as aj < a2.]
(а — 1)х1 + (За + 1)х2 + 2ахз
(а — 1)х1 + (4а - 2)х2 + (а + 3)хз —D 0
2x1 + (3a + 1)x2 + 3(a – 1)x3 = 0
aj =
a2 =
omYn](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7988b6b9-c22f-4345-8d8b-6d9fad8ee4e3%2F1589cac8-b7bb-4048-ad48-cc7e228e443b%2Fnc6twq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:[B] Find the values of a for which the
following system of equations is consistent
and has non-trivial solutions.
[Give your answers as aj < a2.]
(а — 1)х1 + (За + 1)х2 + 2ахз
(а — 1)х1 + (4а - 2)х2 + (а + 3)хз —D 0
2x1 + (3a + 1)x2 + 3(a – 1)x3 = 0
aj =
a2 =
omYn
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