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If 0 [x] 2 ;-1 [y] 1 and 1 [z] 3 (where [.] denotes the greatest integer function) then the maximum value of determinant | array ccc [ x ]+1 & [ y ] & [ z ] [ x ] & [ y ]+1 & [ z ] [ x ] & [ y ] & [ z ]+1 array | is

Options

  1. A2
  2. B6
  3. C4
  4. Dnone of these

Correct answer

C. 4

Step-by-step solution

aligned & R ₁ R ₁- R ₂, R ₂ R ₂- R ₃ & =[ x ]+[ y ]+[ z ]+1 & _ =1+0+2+1=4 aligned

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