LinearSolve[] support

[darvin]

In[242]:= LinearSolve[{{a, b}, {c, d}}, {x, y}]                                                  

            d x - b y    c x - a y
Out[242]= {------------, ---------}
           -(b c) + a d  b c - a d

In[243]:= ??LinearSolve                                                                          
LinearSolve[m, b] finds an x that solves the matrix equation m . x == b. 
LinearSolve[m] generates a LinearSolveFunction[…]
     that can be applied repeatedly to different b.