Jimmy Sie Online Mathematics · Gallery · Blog · Home

HomeMaths › Adjoint, Determinant and Inverse of a Matrix


Adjoint, Determinant and Inverse of Matrix

See also: Matrix multiplication, Addition and Subtraction

Online calculation

You can also find the inverse of a matrix using Gauss-Jordan Elimination method.

Check out other Mathematics tools and resources at www.idomaths.com


The inverse of a square matrix A is the matrix A-1 such that

A A-1 = I

 

For example, if

A =
  
 
12
34
 
  
, then A-1 =
  
 
-21
1.5-0.5
 
  
because A A-1 =
  
 
12
34
 
  
  
 
-21
1.5-0.5
 
  
=
  
 
10
01
 
  

To get the inverse of a square matrix A, use the following formula

A-1 = 1adj(A)
det(A)

If the determinant of the matrix is 0, the matrix doesn't have an inverse and it's called a singular matrix.

You can try to find out the inverse of a matrix (if any) by using the online calculator above.

© 2003-2014 Jimmy Sie Online · All rights reserved.