If a 0 , … , a 4 are in A.P. with nonzero common difference d  = ± 1 , find the determinant: det a 1 a 2 a 3 a 2 a 3 a 4 a 1 a 2 a 3 a 0 a 1 a 2

Question

If a 0 ​ , … , a 4 ​ are in A.P. with nonzero common difference d  = ± 1 , find the determinant: det ​ a 1 ​ a 2 ​ a 3 ​ ​ a 2 ​ a 3 ​ a 4 ​ ​ a 1 ​ a 2 ​ a 3 ​ ​ a 0 ​ a 1 ​ a 2 ​ ​ ​

TestHub · Accepted Answer

Apply C 2 ​ → C 2 ​ − C 3 ​ , then successive row differences. The determinant reduces to − 2 d 3 ( a 2 ​ − a 3 ​ ) = 2 d 4 .

Mathematics - Determinant Question with Solution | TestHub

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