If A is a 3 × 3 matrix and the matrix obtained by replacing the elements of A with their corresponding cofactors is 1 - 2 1 4 - 5 - 2 - 2 4 1 , then a possible value of the determinant of A is

Question

If A is a 3 × 3 matrix and the matrix obtained by replacing the elements of A with their corresponding cofactors is 1 - 2 1 4 - 5 - 2 - 2 4 1 , then a possible value of the determinant of A is, 4, 3, 2, 1

MARKS App · Accepted Answer

Given that matrix A order is 3 We know that adj A = A n - 1 where n is order matrix. adj A = 1 - 2 1 4 - 5 - 2 - 2 4 1 = 1 3 + 2 0 + 1 6 = 9 A 2 = 9 ⇒ A = 3 .

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