Find the determinant of a 5x5 matrix,
, by using the cofactor expansion.
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.
$|A| = $