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in Matrices & determinants by (41.4k points)

Let a > 0, d > 0. Find the value of the determinant

|(1/a, 1/a(a + d), 1/((a + d)(a + 2d))), (1/(a + d), 1/((a + d)(a + 2d)), 1/((a + 2d(a + 3d))), (1/(a + 2d), 1/(a + 2d(a + 3d)), 1/((a + 3d)(a + 4d)))|

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Applying R2 → R2 - R1, R3 → R3 - R2 in Δ′ where

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