For what values of h are the given vectors linearly dependen

For what values of h are the given vectors linearly dependent [-1 4 6], [5 2 -3 ], [-1 1 1], [2 -2 h] Vectors are linearly dependent for h not equal -2 Vectors are linearly dependent for all h vectors are linearly dependent for h = -2 Vectors are linearly independent for all h

Solution

We know that the dimension of R³ is 3. Therefore, a set of more than 3 vectors in R³ is always linearly dependent. Since we have a set of 4 vectors in R³ , hence the given set of vectors is linearly dependent for all values of h. The last option is the correct answer.