Evaluate the determinants from Mathematics Determinants

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 Multiple Choice QuestionsShort 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

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15. 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 5 end cell cell space space space space 2 end cell end table close vertical bar
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16. Evaluate the determinants

open vertical bar table row 3 cell negative 1 end cell 2 row 0 cell space space 0 end cell cell negative 1 end cell row 3 cell space 5 end cell 0 end table close vertical bar
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17. Evaluate the determinants

open vertical bar table row 3 cell space minus 4 end cell cell space space 5 end cell row 1 cell space space space 1 end cell cell space minus 2 end cell row 2 cell space space space 3 end cell cell space 1 end cell end table close vertical bar


Let space space space increment space equals space open square brackets table row 3 cell space space minus 4 end cell cell space space space space 5 end cell row 1 cell space space space space 1 end cell cell space minus 2 end cell row 2 cell space space space space 3 end cell cell space space space 1 end cell end table close square brackets space space equals 3 space open vertical bar table row 1 cell space space minus 2 end cell row 3 cell space space space space 1 end cell end table close vertical bar space minus left parenthesis negative 4 right parenthesis space space open vertical bar table row 1 cell space space minus 2 end cell row 3 cell space space space space 1 end cell end table close vertical bar space plus 5 space open vertical bar table row 1 cell space space space space space 0 end cell row 2 cell space space space space space 3 end cell end table close vertical bar
space space space space space space space space space space space space space equals space 3 left parenthesis 1 plus 6 right parenthesis plus 4 left parenthesis 1 plus 45 right parenthesis plus 5 left parenthesis 3 minus 2 right parenthesis
space space space space space space space space space space space space space equals space 3 space left parenthesis 7 right parenthesis plus 4 left parenthesis 5 right parenthesis plus 5 left parenthesis 1 right parenthesis equals 21 plus 20 plus 5 equals 46
space space space space space space space space
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18. open vertical bar table row 0 cell space space space space 1 end cell cell space space space space space 2 end cell row cell negative 1 end cell cell space space space space 0 end cell cell space space minus 3 end cell row cell negative 2 end cell cell space space space space 3 end cell cell space space space 0 end cell end table close vertical bar
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19. Evaluate space the space determinants
open vertical bar table row 2 cell space space space minus 1 end cell cell space space minus 2 end cell row 0 cell space space space space space space 2 end cell cell space space space space 1 end cell row 3 cell space space minus 5 end cell cell space space space space 0 end cell end table close vertical bar
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20. Find the value of the determinant

open vertical bar table row 1 cell space minus 3 end cell cell space space space 2 end cell row 4 cell space minus 1 end cell cell space space space 2 end cell row 3 cell space space space space space 5 end cell cell space space space 2 end cell end table close vertical bar
75 Views

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