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. .

1. 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

2. 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.