Jenny (a regular poster) explained the terminology to me in this way :
R2 - (1/2)R1 means to take Row 2, subtract (1/2)R1 and put the result in Row 1
(1/2)R1 = 2 3/2 0
So R2 - (1/2)R1 = ( -6 - 2 ) (-3 - 3/2) (12 - 0) = -8 -9/2 12
So.....the martix should be
-8 -9/2 12
-6 -3 12
Melody is correct......this terminolgy is NOT correct.....it should be
R2 - (1/2)R1 → ( where to put the result )