Solution to Matrix Inversion

1. The given matrix:

   

   does not have an inverse. It is actually a singular matrix, i.e. there is more than one solution to the system Ax = b, for some b.

   Suppose b = [2 -6 1], then solving for :

   

   The system has more than one solution, i.e. it does not have a unique solution. Therefore, the matrix A does not have an inverse.
   
   

2. The given matrix:

   

   has an inverse, since the system Bx = c has a unique solution for some c.

   To find the inverse of matrix B:

   

   i.e.

   

Use Octave to confirm the answers.