Find the value(s) of h for which the vectors below are linearly dependent.
These three vectors are linearly independent if we write:
This leads to the system of equations,
You want that this has a trivial solution i.e. .
To do that you need to compute the determinant of that system and make it equal to zero. And that will tell you all the values of which give non-trivial solutions. Once you know that you can find what would give trivial solutions.