inverse(Matrix) -- compute the inverse

Code

../../m2/methods.m2:695:25-695:88: --source code:
cacheValue = key -> f -> x -> ( try x.cache else x.cache = new CacheTable )#key ??= f(x)
| symbol  class            value                                              location of symbol
| ------  -----            -----                                              ------------------               
| f       FunctionClosure  FunctionClosure[../../m2/matrix1.m2:625:5-631:19]  ../../m2/methods.m2:695:20-695:21
| key     Symbol           inverse                                            ../../m2/methods.m2:695:13-695:16
| -- function f:
| ../../m2/matrix1.m2:625:5-631:19: --source code:
|      m -> (
|       if hasEngineLinearAlgebra ring m and isBasicMatrix m then
|           basicInverse m
|       else (
|               (quo,rem) := quotientRemainder(id_(target m), m);
|               if rem != 0 then error "matrix not invertible";
|               quo))