If [ ] denotes the greatest integer less than or equal to the real number under consideration and − 1 ≤ x

Question

If [ ] denotes the greatest integer less than or equal to the real number under consideration and − 1 ≤ x < 0 ; 0 ≤ y < 1 ; 1 ≤ z < 2 , then the value of the determinant is

TestHub · Accepted Answer

Since, − 1 ≤ x < 0 ∴ ∴ ​ [ x ] = − 1 0 ≤ y < 1 ∴ [ y ] = 0 1 ≤ z < 2 ∴ [ z ] = 1 Given determinant = ​ 0 − 1 − 1 ​ 0 1 0 ​ 1 1 2 ​ ​ = 1 = [ z ] ​

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