# Linearly independent/dependent

• January 28th 2009, 11:59 PM
jlt1209
Linearly independent/dependent
Determine if each of the following sets of vectors is linearly independent or linearly dependent.

(a)
v1 = [3 1 0] , v2 = [1 2 1] , v3 = [4 3 1].

(b)
v1 = [1

0
0]
v2 = [0
2
1]
v3 = [1
0
1]

Not sure how you determine that ... thanks!

• January 29th 2009, 01:12 AM
Isomorphism
Quote:

Originally Posted by jlt1209
Determine if each of the following sets of vectors is linearly independent or linearly dependent.

(a)
v1 = [3 1 0] , v2 = [1 2 1] , v3 = [4 3 1].

(b)
v1 = [1

0
0]
v2 = [0
2
1]
v3 = [1
0
1]

Not sure how you determine that ... thanks!

For (a) v1 + v2 = v3

(b) Show that if $av_1 + bv_2 + cv_3 = 0$, then $a=b=c=0$ by solving a system of simple linear equations.