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MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Column IColumn II
(A) If nn be the number of distinct values of 2×22 \times 2 determinant whose entries are from the set {−1,0,1}\{-1, 0, 1\} , then (n−1)2(n-1)^2 is divisible by(p) 2
(B) If nn be the number of 2×22 \times 2 determinants with non-negative values whose entries from the set {0,1}\{0, 1\} , then (n−1)(n-1) is divisible by(q) 3
(C) If nn be the number of 2×22 \times 2 determinants with negative values whose entries from the set {−1,1}\{-1, 1\} , then n(n+1)n(n+1) is divisible by(r) 5
(s) 6
(t) 7

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