For which L(s) will be these vectors linearly dependent?

[monkeydog]

So i have 3 vectors:
a= [1 1 1]
b= [2 L 0]
c= [L 2 3]

How do I calculate the L in order to make these vecotrs linearly dependent?

How does ß depend from L if v= [ß 0 -1] and v is in span(a b c)?


Thank you!

 

[tkhunny]

Have you considered the Determinant?

 

[monkeydog]

Have you considered the Determinant?

No, we haven't learnt them yet.

 

[tkhunny]

How about Reduced Row Echelon Form?

First step might be to substitute "b" with "b - (2)a" and see if it looks any better.
If you're not convinced, substitute "c" with "c - (L)a" and it's sure to look better.