# Inverse matrix

Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.

Result

n =  81

#### Solution:

$d_{1}=9 \ \\ d_{2}=1/d_{1}=1/9 \doteq \dfrac{ 1 }{ 9 } \doteq 0.1111 \ \\ n=d_{1}/d_{2}=9/0.1111=81$

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