## Elementary Linear Algebra 7th Edition

Multiply the first row by $-5$ and then add the result to the second row.
Given $$\left|\begin{array}{rrr}{1} & {-3} & {2} \\ {5} & {2} & {-1} \\ {-1} & {0} & {6}\end{array}\right|=\left|\begin{array}{rrr}{1} & {-3} & {2} \\ {0} & {17} & {-11} \\ {-1} & {0} & {6}\end{array}\right|.$$ In the L.H.S, multiply the first row by $-5$ and then add the result to the second row, we get the R.H.S.