find the general solution...

ok here is my problem...

http://latex.codecogs.com/gif.latex?...\boldsymbol{X}

http://latex.codecogs.com/gif.latex?...0\end{pmatrix}

ok so when i started this problem i found that the values of lambda were 1/2 and

-1/2

so my first solution is... http://latex.codecogs.com/gif.latex?...{\frac{1}{2}t}

this solution was for when lambda was 1/2.

my problem comes when lambda is -1/2...

i basically have 2 equations k1 +(0)k2 = 0 and k1+(0)k2 = 0? so am i to assume that k1 and k2 are 0?

any thoughts would be appreciated.