Let a,b anc be real numbers such that a-7b+8c=4 and 8a+4b-c=7 then the value of a^2-b^2+c^2is:

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A = ⎡ ⎢ ⎣ \begin{matrix} 0 & c & - b - c & 0 & a b & - a & 0 \end{matrix} ⎤ ⎥ ⎦

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a d j A = A^{2} + (a^{2} + b^{2} + c^{2}) I

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