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

Question

Quantrex Academy · Accepted Answer

Correct answer: 4

| array ccc 1 & 0 & -1 0 & 1 & -1 [x] & [y] & [z]+1 array | R₁ R₁-R₃, R₂ R₂-R₃ on solving [ x ]+[ y ]+[ z ]+1 , taking maximum value, we get 4

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

Correct answer

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