Matrix transformations

Im trying to do a 2d rotation using a transformation matrix but the calculations not coming out as I expect it.

here's what i'm trying to do:

|0-1 0| |0|=|-1|
|1 0 0| |1|=|0|
|0 0 1| |1|=|1|

here's what im doing:
$test="0 1 0 -1 0 0 0 0 1"
$vec="0 1 1";
$res=matrixmulvector($test,$vec);

ive tried numerous times and I cannot get the correct result.
is this the proper way to represent a matrix?