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in Trigonometry by (41.3k points)

Consider the determinant Δ = |(a1, a2, a3), (b1, b2, b3), (d1, d2, d3)|

Mij = Minor of the element of ith row and jth column

Cij = Cofactor of the element of ith row and jth column

a3 M13 - b3 × M23 + d3 × M33 is equal to

(A) 0 

(B) 4Δ

(C) 2Δ

(D) Δ 

1 Answer

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Best answer

Answer is (D) Δ 

 a3 M13 - b3 ⋅ M23 + d3 ⋅ M33 = a3 C13 + b3 ⋅ C23 + d3 ⋅ C33Δ by definition.

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