If 5 1 4 7 6 2 1 3 5 1 6 - 7 6 2 4 - 7 4 3 5 7 1 1 6 3 4 2 5 2020 = a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 , then the value of 2 a 2 - b 1 + 3 a 3 - c 1 + 4 b 3 - c 2 is equal to

Question

If 5 1 4 7 6 2 1 3 5 1 6 - 7 6 2 4 - 7 4 3 5 7 1 1 6 3 4 2 5 2020 = a 1 a 2 a 3 b 1 b 2 b 3 c 1 c 2 c 3 , then the value of 2 a 2 - b 1 + 3 a 3 - c 1 + 4 b 3 - c 2 is equal to, 0, 1, 2, 3

MARKS App · Accepted Answer

Let, X = A B A T 2020 ( ∵ B is symmetric) X T = A B A T 2020 T = A B A T T 2020 = A B A T 2020 X = X T ⇒ X is a symmetric matrix ⇒ a 2 = b 1 , a 3 = c 1 , b 3 = c 2 ⇒ Required value = 0

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