- #1

Faiq

- 348

- 16

## Homework Statement

The vectors ##a_1, a_2, a_3, b_1, b_2, b_3## are given below

$$\ a_1 = (3~ 2~ 1 ~0) ~~a_2 = (1~ 1~ 0~ 0) ~~ a_3 = (0~ 0~ 1~ 0)~~ b_1 = (3~ 2~ 0~ 2)~~ b_2 = (2 ~2~ 0~ 1)~~ b_3 = (1~ 1~ 0~ 1) $$

The subspace of ## \mathbb R^4 ## spanned by ##a_1, a_2, a_3## is denoted by ##V_1## and the subspace of ## \mathbb R^4 ## spanned by ##b_1, b_2, b_3## is denoted by ##V_2##

The set of vectors which consists a zero vector and all vectors which belong to ##V_1## and ##V_2## is denoted by ##W##.

Write down two linearly independent vectors which belong to ##W##

## The Attempt at a Solution

Can somebody please explain how to get the independent vectors? I am very aware of the definition of independent vectors. However, I cannot seem to relate the definition and use it to solve this question.