Add two, three and four columns in the first column at the same time.

Get:

10 2 3 4

10 1 2 3

10 4 1 2

10 3 4 1

(2) Propose 10.

Get:

1 2 3 4

1 1 2 3

1 4 1 2

1 3 4 1

(3) Multiply the first line by (-1) and add it to the second, third and fourth lines in turn.

Get:

1 2 3 4

0 - 1 - 1 - 1

0 2 -2 -2

0 1 1 -3

(4) According to the expansion of determinant:

- 1 - 1 - 1

2 -2 -2

1 1 -3

Then get the answer: it should be-160.