Manuals/calci/MATRIXINVERSE

MATRIXINVERSE (a)


  • is any matrix.

Description

  • This function shows the inverse value of the given matrix.
  • In  ,   is any square matrix.
  • Inverse of a square matrix is also called reciprocal of a matrix and it is denoted by  .
  • Consider the square matrix A has an inverse which should satisfies the following condition  
  • Also  (Identity matrix).
  • Consider 2x2 matrix:A=[a b;c d].
  • The inverse of matrix A is calculated by

 =  = 

  • Consider 3x3 matrix A and its inverse is calculated by

 = =  

where A=(ei-fh); B=-(di-fg);C=(dh-eg); D=-(bi-ch); E=(ai-cg); F=-(ah-bg); G=(bf-ce)  H=-(af-cd);I=(ae-bd)

Examples

1. MATRIXINVERSE([4,7;2,6])

0.6 -0.7
-0.2 0.4

2. MATRIXINVERSE([1,2,3;0,1,4;5,6,0])

-24 18 5
20 -15 -4
-5 4 1

Related Videos

Matrix Inverse

See Also

References