This produces the same x,y,z as treating the vector as a row on the left of the (un-transposed) matrix.
Treating U as a column to the right of transposed matrix return columnTreating U as a row to the left of untransposed matrix return rowVxVyVz[VxVyVz]==AxxAyxAzxAxyAyyAzyAxzAyzAzzUxUyUz[UxUyUz]AxxAxyAxzAyxAyyAyzAzxAzyAzz