# How do you find the determinant of #((1, 7, -4, -5), (1, 5, 7, -4), (3, 21, -12, -15), (5, 25, -8, 0))#?

##### 1 Answer

#### Answer:

This is a long recursive method. Details are given below.

#### Explanation:

To find the determinant of a 4x4 Matrix, one has to go through a

recursive process working way down from the 4x4 determinant to 3x3 determinants and then to 2x2 determinants.

The determinant

Here we have chosen first row as multipliers to each

To find the value of each

This way expand each

Value of a