Determinant 5x5

Last updated: Jan. 2nd, 2019
  Find the determinant of a 5x5 matrix,
5 by 5 determinant
, by using the cofactor expansion.

  Explanation

  The cofactor expansion of $A$ along the first column is
cofactor expansion of a 5x5 matrix
The cofactor expansion of the 4x4 determinant in each term is
From these, we have

  Calculating the 3x3 determinant in each term,
  Finally, expand the above expression and obtain the 5x5 determinant as follows.
Calculator
  Enter a 5x5 matrix and press "Execute" button. Then the determinant is displayed.
1 2 3 4 5
1
2
3
4
5
$|A| = $