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Mathematics : Determinants

Short Answer Type

11. Find values of x, if

open vertical bar table row 2 cell space space space 4 end cell row 5 cell space space 1 end cell end table close vertical bar space equals space open vertical bar table row cell 2 x end cell cell space space 4 end cell row 6 cell space space x end cell end table close vertical bar space space

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12.

Find space values space of space straight x space if open vertical bar table row 2 cell space space space 3 end cell row 4 cell space space space 5 end cell end table close vertical bar space equals space open vertical bar table row straight x cell space 3 end cell row cell 2 straight x end cell cell space 5 end cell end table close vertical bar

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13.

Find the value of ∆, where

$increment space space equals space open vertical bar table row 6 cell space minus 3 end cell cell space space space space 2 end cell row 2 cell space minus 1 end cell cell space space space space 2 end cell row cell negative 10 end cell cell space space space space space 5 end cell cell space space space space 2 end cell end table close vertical bar$

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14.

Evaluate the determinant

$increment space space equals space space open vertical bar table row 1 cell space space 2 end cell cell space space space 4 end cell row cell negative 1 end cell cell space space 3 end cell cell space space 0 end cell row 4 cell space 1 end cell cell space space 0 end cell end table close vertical bar$