Calculate the following determinants using cofactors. a. det 1 3 5 6 4 2 2 5 1 b. det 1

QUESTION:

Calculate the following determinants using cofactors.

a. \(\operatorname{det}\left[\begin{array}{rrr} -1 & 3 & 5 \\ 6 & 4 & 2 \\ -2 & 5 & 1 \end{array}\right]\)

b. \(\operatorname{det}\left[\begin{array}{rrrr} 1 & -1 & 0 & 1 \\ 0 & 2 & 1 & 1 \\ 2 & -2 & 2 & 3 \\ 0 & 0 & 6 & 2 \end{array}\right]\)

c. \(\operatorname{det}\left[\begin{array}{rrrr} 1 & 4 & 1 & -3 \\ 2 & 10 & 0 & 1 \\ 0 & 0 & 2 & 2 \\ 0 & 0 & -2 & 1 \end{array}\right]\)

d. \(\operatorname{det}\left[\begin{array}{rrrrr} 2 & -1 & 0 & 0 & 0 \\ -1 & 2 & -1 & 0 & 0 \\ 0 & -1 & 2 & -1 & 0 \\ 0 & 0 & -1 & 2 & -1 \\ 0 & 0 & 0 & -1 & 2 \end{array}\right]\)