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## Homework Statement

Find the determinant of the following matrix

0 1 1 ... 1

1 0 1 ... 1

1 1 0 ... 1

.

.

.

1 1 1 ... 0

The zeros are always at the diagonal. All other points are 1.

## The Attempt at a Solution

Consider the matrix as block matrices.

We know that the determinant of the first 3 x 3 matrix is 2.

How can you calculate the determinant for the whole matrix?