Ex: Are the vectors (3,-1,0), (0,2,1), and (0,0,2) nearly dependent? Let a and b be scalars. ŵ = a + b (0,0,2)= a(3,-1,0)+b(0,21) 0 = 30 0 Nats Check in the third. LS RS 0 -9+zb -O+2(2) O= a + zb @ + 2= b we see b= 2 and a- - 4 .. LS&RS .: the vectors are NOT linearly dependent.
Ex: Are the vectors (3,-1,0), (0,2,1), and (0,0,2) nearly dependent? Let a and b be scalars. ŵ = a + b (0,0,2)= a(3,-1,0)+b(0,21) 0 = 30 0 Nats Check in the third. LS RS 0 -9+zb -O+2(2) O= a + zb @ + 2= b we see b= 2 and a- - 4 .. LS&RS .: the vectors are NOT linearly dependent.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
Related questions
Question
determine if the following pair of vectors is linearly dependent or linearly independent. show all work (3,5,6) (6,4,11) (-3,-5,6). this is vectors
DO IT THIS WAY NOT THE MATRIX OTHER WAY
start by making the equation like (-3,-5,6)=a (3,5,6)+ b(6,4,11)
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