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Q43Section C (Section C)43 of 60

Trace of matrix from its adjoint

Let AA be a 3×33\times 3 real matrix such that det⁡(A)=6\det(A)=6 and adj A=(1−12 571 −111),\mathrm{adj}\,A = \begin{pmatrix} 1 & -1 & 2 \ 5 & 7 & 1 \ -1 & 1 & 1 \end{pmatrix}, where adj A\mathrm{adj}\,A denotes the adjoint of AA. Then the trace of AA equals __________ (round off to 22 decimal places)

Numerical answer: type the number (no options).

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