Hello Everyone,
I hope someone can help me; I am stuck on this problem! Please, explain your answer so I can
follow, and be clear so I can understand. Thanks!
Determine condition on the scalars so that the set of vectors is linearly dependent
a.
v1=
|1|
|2|
|1|
v2=
|1|
|3|
|2|
v3=
|0|
|1|
|a|
b.
v1=
|a|
|1|
v2=
|b|
|3|
Solution

a. value of scalar a=1 so that the set of vectors is linearly dependent.
as,
v2-v1=v3
last row will be 2-1=1.
b. here b=3
since a=1,
v2 = 3 v3
hence b=3.