Evaluate (
2 3 1
0 1 5
3 7 2
)^-1 17 by finding (
2

Question

Evaluate (
    2     3     1 
     0     1     5 
     3     7     2
)^-1 17 by finding (
    2

Accepted Answer

Step 1: Calculate the inverse of the matrix using the formula for the inverse of a 3x3 matrix:u000A$

Evaluate $$ \left(\begin{array}{lll} 2 & 3 & 1 \\ 0 & 1 & 5 \\ 3 & 7 & 2 \end{array}\right)^{-1} \bmod 17 $$ by finding $$ \left(\begin{array}{lll} 2 & 3 & 1 \\ 0 & 1 & 5 \\ 3 & 7 & 2 \end{array}\right)^{-1} $$ (with rational entries) and then reducing each entry modulo 17.