Maze Of Matrices

Algebra Level 4

\(\begin{pmatrix} 1 & 1 & 1 & 1 & 1 \\ 1 & 2 & 3 & 4 & 5 \\ 1 & 3 & 6 & 10 & 15 \\ 1 & 4 & 10 & 20 & 35 \\ 1 & 5 & 15 & 35 & 70 \end{pmatrix}\begin{pmatrix} 2 & 2 & 2 & 2 & 2 \\ 2 & 4 & 6 & 8 & 10 \\ 2 & 6 & 12 & 20 & 30 \\ 2 & 8 & 20 & 40 & 70 \\ 2 & 10 & 30 & 70 & 140 \end{pmatrix}=\begin{pmatrix} a & b & c & d & e \\ b & f & g & h & i \\ c & g & j & k & l \\ d & h & k & m & n \\ e & i & l & n & o \end{pmatrix}\)

Find \(a+f+j+m+o\).

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