Matrices with parameters
Task number: 2600
Deremine determinants of the following real matrices with parameters:
Variant 1
\( \begin{pmatrix} 2 & 2 & -1 & a \\ 2 & -2 & 1 & b \\ 1 & 2 & 2 & c \\ -1 & 2 & -1 & d \\ \end{pmatrix} \)
Variant 2
\(\begin{pmatrix} 0 & b & 1 & 0 \\ a & 0 & 1 & 1 \\ 1 & 1 & 0 & d \\ 0 & 1 & c & 0 \\ \end{pmatrix} \)
Variant 3
\(\begin{pmatrix} a & -1 & -1 & -1 \\ b & 0 & 1 & 1 \\ b & 1 & 0 & 1 \\ a & 1 & 1 & 0 \\ \end{pmatrix} \)
Variant 4
\(\begin{pmatrix} a & 0 & 1 & -1 \\ 0 & b & -1 & 1 \\ 1 & -1 & c & 0 \\ -1 & 1 & 0 & d \\ \end{pmatrix} \)
