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Sum of entries of inverse matrices

High school · ●●●○○ 50 pts

The matrices (a1b223c5d)\begin{pmatrix} a & 1 & b \\ 2 & 2 & 3 \\ c & 5 & d \end{pmatrix} and (−5e−11f−13g2h4)\begin{pmatrix} -5 & e & -11 \\ f & -13 & g \\ 2 & h & 4 \end{pmatrix} are inverses of each other. Find a+b+c+d+e+f+g+ha + b + c + d + e + f + g + h.

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matrix inversematrix multiplicationsystems of linear equations