Thread: 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!

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 , then by solving a system of simple linear equations.