M2160-1      7th Homework Assignment      Due Apr. 26, 2006.

1. Write a program that uses Gaussian Elimination to find the inverse of a matrix. The program should ask the user for the size of the matix,  n , and then ask to enter the n  ×  n matrix  A . Then it should print the inverse matrix  A^-1  if the matrix is invertible, or report that the matix is singular.

   One way to do the program is to create an n  ×  2n augmented matrix by adjoining an identity matrix,  (A,I)  and then do Gauss-Jordan elimination with partial pivoting to row-reduce to the matrix  (I,B) . Then the inverse is given by  A^-1 = B .

E-mail your solutions to treiberg@math.utah.edu.