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Determinants

Question

Wired Faculty App

Evaluate
$open vertical bar table row 2 cell space space space space space space 4 end cell row cell negative 5 end cell cell space space space minus 1 end cell end table close vertical bar$

Solution

Let space space space increment space equals space open vertical bar table row 2 cell space space space space space space 4 end cell row cell negative 5 end cell cell space space space minus 1 end cell end table close vertical bar space space space space space space space space space space space space space space equals space left parenthesis 2 right parenthesis space left parenthesis negative 1 right parenthesis minus left parenthesis negative 4 right parenthesis left parenthesis negative 5 right parenthesis space space space space space space space space space space space space space space equals space minus 2 plus 20 equals 18 space space space space space space

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