2 -4 -6 8 0 3 6 -3 Let A = and b = -3 5 6 -10 Yes + 1. Determine if b is a linear combination of aj , az and az , the columns of the matrix A. If it is a linear combination, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, enter 0's for the coefficients. aj+ a2+ az = b.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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2 -4 -6
3
6
-3
Let A
and b =
%3D
-3
-10
Yes
1. Determine if b is a linear combination of aj , a, and az3 , the columns of the matrix A.
If it is a linear combination, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, enter 0's
for the coefficients.
a2+
az = b.
Transcribed Image Text:2 -4 -6 3 6 -3 Let A and b = %3D -3 -10 Yes 1. Determine if b is a linear combination of aj , a, and az3 , the columns of the matrix A. If it is a linear combination, determine a non-trivial linear relation - (a non-trivial relation is three numbers which are not all three zero.) Otherwise, enter 0's for the coefficients. a2+ az = b.
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