Same Properties

The dot product between column matrices has the same properties as the dot product between vectors. Here is another example:

1. p  =  ( -2, 5 )^T
2. q  =  ( 3, -1 )^T
3. then p · q   =   (-2)*3 + 5*( -1)   =   -6 + -5  =  -11

Here is a more realistic example:

1. s  =  ( 1.082, -3.224 )^T
2. t  =  ( 2.381, 7.009 )^T
3. then s · t  = 1.082*2.381 + -3.224*7.009   =   2.576242 + -22.597016   =  -20.020774

In all cases the dot product takes two column matrix operands and yields one scalar value.