2 -15 16 Is b is a linear combination of a₁, a2 and a3, the columns of the matrix A? O No O Yes. Let A = 1 a1+ 246 2 -4 -5 -3 and b = -2₂ +0 0 If b is a linear combination of the columns of A, determine a non-trivial linear relation between a1, a2, a3 and b. Otherwise, enter O's for the coefficients. a2+ -a a3 = 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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Question
2
-15
16
Is b is a linear combination of a₁, a2 and a3, the columns of the matrix A?
O No
O Yes.
Let A =
1
a1+
246
2
-4 -5 -3 and b =
-2₂
+0
0
If b is a linear combination of the columns of A, determine a non-trivial linear relation between a1, a2, a3 and b.
Otherwise, enter O's for the coefficients.
a2+ -a a3 = b.
Transcribed Image Text:2 -15 16 Is b is a linear combination of a₁, a2 and a3, the columns of the matrix A? O No O Yes. Let A = 1 a1+ 246 2 -4 -5 -3 and b = -2₂ +0 0 If b is a linear combination of the columns of A, determine a non-trivial linear relation between a1, a2, a3 and b. Otherwise, enter O's for the coefficients. a2+ -a a3 = b.
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