Write down A -1 . Write down the Laplace expansion of by the first column. Do not evaluate it. Let D be the quater of the unit disc which lies in the first quadrant, . Use polar coordinates to evaluate .
V is the upper half of the unit ball .
Use spherical polars to evaluate . Let where . Find a basis for the range of T A and a basis for the null space of T A . S is the surface . D is the unit disc .