I would use:
Where
Giving the system:
(1)
(2)
(3)
Adding (1) and (2) we find:
Substituting for B into (1) we find:
Substituting for A and B into (3) we find:
Problem on the past qualifier asks to find the value of h for which the vectors are linearly dependent:
For vectors to be linearly dependent they need to be products of each other multiplied by some coefficient. By mental math I found that with vectors are linearly dependent if .
Would someone please comment on the correctness and point me to the formulaic way to find such solutions?