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Determinants

Question

Wired Faculty App

Evaluate

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

Solution

Let space space space space space space increment equals space open vertical bar table row 2 cell space 4 end cell row cell negative 1 end cell cell space 2 end cell end table close vertical bar space space space space space space space space space space space space space space space space equals space space left parenthesis 2 right parenthesis space left parenthesis 2 right parenthesis minus left parenthesis 4 right parenthesis left parenthesis negative 1 right parenthesis equals 4 plus 4 equals 8

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