INV Invert Matrix

Section: Transforms/Decompositions

Usage

Inverts the argument matrix, provided it is square and invertible. The syntax for its use is
   y = inv(x)

Internally, the inv function uses the matrix divide operators. For sparse matrices, a sparse matrix solver is used.

Example

Here we invert some simple matrices
--> a = randi(zeros(3),5*ones(3))

a = 

 1 1 4 
 1 0 1 
 0 4 1 

--> b = inv(a)

b = 

   -0.3636    1.3636    0.0909 
   -0.0909    0.0909    0.2727 
    0.3636   -0.3636   -0.0909 

--> a*b

ans = 

    1.0000    0.0000         0 
         0    1.0000    0.0000 
         0         0    1.0000 

--> b*a

ans = 

    1.0000    0.0000    0.0000 
         0    1.0000   -0.0000 
         0         0    1.0000 

--> 
quit