From ZCubes Wiki
Jump to navigation Jump to search

  • is the array of numeric elements.
    • MDETERM(), returns the matrix determinant of an array.


  • This function gives the determinant value of a matrix.
  • To calculate the determinant of a matrix, we can choose only square matrix.i.e. Number of rows and number of columns should be equal.
  • Determinant of the identity matrix is always 1.
  • Determinant of the matrix is denoted by or .
  • Let be 2x2 matrix with the elements

  • Then , where all are real numbers.
  • Let be the 3x3 matrix with the elements

Then :

  • Let be a square matrix of order . Write ,
  • Where is the entry on the row and column and to & to .
  • For any and , set (called the co-factors), then the general formula for determinant of the matrix is,

, for any fixed . Also, for any fixed .

  • This function will give the result as error when
1. Any one of the element in array is empty or contain non-numeric
2. Number of rows is not equal to number of columns


  • The syntax is to calculate determinant of a matrix in ZOS is .
    • is the array of numeric elements.
  • For e.g.,MDETERM([[2.3,4.1,5.9],[3.5,6.2,1.3],[2.8,9.1,8.4]])


  1. =MDETERM([[6,4,8],[3,6,1],[2,4,5]]) = 104
  2. =MDETERM([[-5,10],[6,-8]]) = -20
  3. =MDETERM([[1,0,2,1],[4,0,2,-1],[1,4,5,2],[3,1,2,0]]) = 17
  4. =MDETERM([1,2,3],[5,2,8]) = NAN

Related Videos

Determinant of Matrix

See Also