# 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.
Calculator
Enter a 5x5 matrix and press "Execute" button. Then the determinant is displayed.
 1 2 3 4 5 1 2 3 4 5
$|A| =$