ESc101N Laboratory Assignment Monday of week of 16/8/04 PROBLEM: Write a program (with one class and that too having only the "main" method) to compute the inverse of a non-singular integer matrix of size 3X3. Details: 1) You may read the input in row-major order (a11, a12, a13, a21, a22, a23, a31, a32, a33) using getInteger method of InputBox class. You can assume that input matrix is non-singular. 2) To compute the inverse of a matrix A use following formula [A11 A12 A13] Inverse of A = (1/D)* [A21 A22 A23] [A31 A32 A33] where Aij is the determinant of A after removing the row and the column of element aji (the ji-th element of A), and D is the determinant A. 3) Note that D and Aij's are integers so in their computation you must use integer variables (say int). But when you compute Aij/D the result will be real (non-integer) in general. So you must use float or double variable to store it. 4) Use OutputBox class to print the result. Print it in the normal matrix format, i.e., in 3 rows and in each row 3 numbers.