Given the matrix A3 1 1 Use Matlab to find: a) the determinant of A b) the inverse of A c) the rank of A d) the inverse of A multiplied by A 3 0.5 0.5 2 e) the determinant of B-| 3 1 1 | and of C-1 1 1 | and of D = | 3 | Compare these answers to a) and comments on differences among these matrices. f) Solve the following set of matrix equations Ax- b using Matlab's linsolve function: A-3 and b--2 g) Verify your answers in parts c) and f) by hand (using Gauss elimination)