To calculate  inverses (for bigger than 2x2 matrices which is trivial) one can use either the adjoint method or the Augmented matrix method [A|I].

Software like matlab can also calculate the inverse of a matrix by issuing the inv command, or by raising the matrix to -1 (^-1).

Information about the above is given below:

http://www.mathwords.com/i/inverse_of_a_matrix.htm

http://www.mathworks.com/help/matlab/ref/inv.html

Theorem.  An n by n ℂ-matrix A is invertible if and only if A row equivalent to In

Corollary. If [A:In] ∼ [In:P] for a given square ℂ-matrix A, then P=A⁻¹.

Please see the attachment.

To calculate  inverses (for bigger than 2x2 matrices which is trivial) one can use either the adjoint method or the Augmented matrix method [A|I].

Software like matlab can also calculate the inverse of a matrix by issuing the inv command, or by raising the matrix to -1 (^-1).

Information about the above is given below:

http://www.mathwords.com/i/inverse_of_a_matrix.htm

http://www.mathworks.com/help/matlab/ref/inv.html

To calculate  inverses (for bigger than 2x2 matrices which is trivial) one can use either the adjoint method or the Augmented matrix method [A|I].

hi

please see

www.mathwoks.com

Software like matlab can also calculate the inverse of a matrix by issuing the inv command, or by raising the matrix to -1 (^-1).

Dear Dr. Hosin Hosinpoor,

Use MATLAB.