Hi, I have trouble doing linear transformations from V->W an example:

(x,y,z) -> |y x|

..............|-z 0|

I tried doing:

T(1,0,0) = |0 1|

................|0 0|

T(0,1,0)= |1 0|

...............|0 0|

T(0,0,1= |0 0|

..............|-1 0|

but have no idea what to do next...