Manuals/calci/MINVERSE

MINVERSE(a)


  • is the array of numeric elements

Description

  • This function gives the inverse matrix for the given matrix.
  • We have to find a inverse of a matrix then it should satisfy the following conditions
  • 1.A matrix must be a square matrix.
  • 2.It's determinant not equal to 0.
  • Let   be the 2x2 matrix with the elements

 .

  • Then the inverse of matrix   is denoted by  .
 
  • Now let   be the matrix is of order  .
  • Then the inverse of   is  
  • Where   is the adjoint of  .
  • Adjoint is the matrix formed by taking the Transpose of the Co-factor matrix of the original matrix.
  • Also  , where   is the identity matrix.
  • Non-square matrices do not have inverses.
  • Not all square matrices have inverses.
  • A square matrix which has an inverse is called invertible or non-singular, and a square matrix without an inverse is called non-invertible or singular.
  • This function will return the result as error when
1. Any one of the cell is non-numeric or any cell is empty or contain text
2. Suppose number of rows not equal to number of columns

ZOS

  • The syntax is to calculate the inverse of the matrix in ZOS is  .
    •   is the array of numeric elements.
  • For e.g.,minverse([[10,12],[11,14]])

Examples

   

   , because its determinant value is 0.

   


See Also

References