Answer:
View Explanation
Concept:
Linear independent is when you set all your vector equal to zero, and the scaling value for each vector is 0. For example:
c₁v₁ + c₂v₂ + c₃v₃ = 0
c₁, c₂, c₃ are arbitrary scaling value for my vectors vₙ. If they are all 0's then it is linearly independent.
0v₁ + 0v₂ + 0v₃ = 0
Linearly dependent is when at least one of the scaling value cₙ is NOT equal to 0.
for example:
c₁v₁ + c₂v₂ + c₃v₃ = 0
0v₁ + 2v₂ + 0v₃ = 0
Here you can see that c₂ = 2, which is not 0, therefore it is Linearly Dependent.
Explanation:
In our problem we are given 3 vectors. I set up the equation
c₁v₁ + c₂v₂ + c₃v₃ = 0
and solve for cₙ using matrice. I row reduced it using matlab because I'm lazy. The result showed that c₁, c₂, c₃≠0, so the answer is linearly dependent.