3. (11 points) Suppose V=Span ⎩
⎨
⎧
​
⎝
βŽ›
​
1
2
3
​
⎠
⎞
​
, ⎝
βŽ›
​
2
2
2
​
⎠
⎞
​
, ⎝
βŽ›
​
1
βˆ’5
5
​
⎠
⎞
​
⎭
⎬
⎫
​
Determine which of the vectors below are in V, and for each such vector, express it as a lincar combination of u= ⎝
βŽ›
​
1
βˆ’2
3
​
⎠
⎞
​
,v= ⎝
βŽ›
​
2
2
2
​
⎠
⎞
​
and w= ⎝
βŽ›
​
1
βˆ’5
5
​
⎠
⎞
​
. (a) (7 points )a= ⎝
βŽ›
​
1
4
0
​
⎠
⎞
​
(b) (4 points )b= ⎝
βŽ›
​
0
0
0
​
⎠
⎞
​