Determinant 5x5

  Find the determinant of a 5x5 matrix, , by using the cofactor expansion.

  Explanation

  The cofactor expansion of $A$ along the first column is 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.   Enter a 5x5 matrix and press "Execute" button. Then the determinant is displayed.