How Should I Approach Solving This Linear Algebra Matrix Problem?

[transgalactic]

i got this question:

http://img525.imageshack.us/my.php?image=29469701vt4.gif

in the link i showed that i tried to build a matrices from the given data

what should i do with this matrix?

i can do row reduction
but then i have single solution,infinite number of solutions ,no solutions

what should i do in order to solve this question??

 

[Pere Callahan]

Do a row reduction and see for which values of lambda there is no solution.