Question: [ 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}

\\[ \\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

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