Matrices of order 4

Calculate determinants of the following real matrices:

Variant 1
\(\begin{pmatrix} 1 & 1 & 1 & 0 \\ 1 & 1 & 0 & 1 \\ 1 & 0 & 1 & 1 \\ 0 & 1 & 1 & 1 \\ \end{pmatrix} \)
Result
The determinant of the matrix is \(-3\).
Variant 2
\(\begin{pmatrix} -1 & 1 & 1 & 1 \\ 1 & -1 & 1 & 1 \\ 1 & 1 & -1 & 1 \\ 1 & 1 & 1 & -1 \\ \end{pmatrix} \)
Result
The determinant of the matrix is \(-16\).
Variant 3
\(\begin{pmatrix} -1 & -2 & 3 & -1 \\ 2 & 4 & -3 & 1 \\ 1 & 2 & -2 & -1 \\ -2 & -1 & 1 & -2 \\ \end{pmatrix} \)
Result
The determinant of the matrix is \(15\).
Variant 4
\(\begin{pmatrix} -2 & 1 & 1 & 1 \\ 1 & 2 & -1 & -2 \\ 1 & -1 & 1 & 1 \\ 1 & 2 & 1 & -2 \\ \end{pmatrix} \)
Result
The determinant of the matrix is \(12\).
Variant 5
\(\begin{pmatrix} 1 & 2 & 3 & 4 \\ 2 & 1 & 0 & 3 \\ 3 & 0 & 1 & 2 \\ 4 & 3 & 2 & 1 \\ \end{pmatrix} \)
Result
The determinant of the matrix is \(80\).
Variant 6
\(\begin{pmatrix} -1 & 0 & 1 & 2 \\ 0 & 1 & 2 & 1 \\ 1 & 2 & 1 & 0 \\ 2 & 1 & 0 & -1 \\ \end{pmatrix} \)
Result
The determinant of the matrix is \(4\).