Dependent Set (Linear Algebra)

[mateomy]

What value of c will make the set S={<3,5,-2>,<3,c,-25>,<1,-4,7>} dependent?


I've been trying to solve this by setting up a matrix for the last 30 minutes and I am not getting anywhere.

My question is simple: Am I even supposed to be solving this with a matrix?

 

[Kreizhn]

The matrix method will definitely work. Set up your matrix and reduce it to echelon form, carrying the c throughout. Once you have completed it the reduction, you will have likely have an equation for c which can be solved to give you a row of zeros.

 

[mateomy]

Thank you. This stuff is driving me nuts. It's taking FOREVER!