\\[ \\begin{array}{l} A=\\left[\\begin{array}{cc} -2 & -2 \\\\ 6 & 4 \\end{array}\ ight], \\quad B=\\left[\\begin{array}{cc} 1 & -2 \\\\ 6 & 3 \\end{array}\ ight], \\quad C=\\left[\\begin{array}{ccc} -4 & 2 & 0 \\\\ 2 & 3 & 5 \\end{array}\ ight], \\quad F=\\left[\\begin{array}{cccc} 2 & 0 & 0 & 0 \\\\ 0 & -1 & 0 & 0 \\\\ 0 & 0 & 0 & 3 \\\\ 0 & 0 & 0 & 5 \\end{array}\ ight], \\\\ D=\\left[\\begin{array}{ccc} 2 & a+b+c & 2 a-b-c \\\\ 3 & 5 & a+c \\\\ 0 & -2 & 7 \\end{array}\ ight] \\end{array} \\] Find: a) \\( \\mathrm{A}-2 \\mathrm{C} \\) b) \\( A^{2} \\) c) \\( B B^{T} \\) d) \\( (A-4 l)^{-1} \\) e) \\( F^{7} \\) f) \\( a, b, c \\) such that \\( D \\) is skew-symmetric