Question

(-2)³×3(x²y)²×(-zy)³​

Answer 1

Answer:

Question-1 :- Write Minors and Cofactors of the elements of following determinants:determinantSolution :-

(i) Minor of the element aᵢⱼ is Mᵢⱼ

Here a₁₁ = 1.

So M₁₁ = Minor of the element a₁₁= 3

M₁₂ = Minor of the element a₁₂ = 0

M₂₁ = Minor of the element a₂₁ = –4

M₂₂ = Minor of the element a₂₂ = 2

Now, cofactor of aᵢⱼ is Aᵢⱼ.

So A₁₁ = (–1) ¹⁺¹ M₁₁ = (–1)2 (3) = 3

A₁₂ = (–1) ¹⁺² M₁₂ = (–1)3 (0) = 0

A₂₁ = (–1) ²⁺¹ M₂₁ = (–1)3 (–4) = 4

A₂₂ = (–1) ²⁺² M₂₂ = (–1)4 (2) = 2

(ii) Minor of the element aᵢⱼ is Mᵢⱼ

Here a₁₁ = 1.

So M₁₁ = Minor of the element a₁₁= d

M₁₂ = Minor of the element a₁₂ = b

M₂₁ = Minor of the element a₂₁ = c

M₂₂ = Minor of the element a₂₂ = a

Now, cofactor of aᵢⱼ is Aᵢⱼ.

So A₁₁ = (–1) ¹⁺¹ M₁₁ = (–1)2 (d) = d

A₁₂ = (–1) ¹⁺² M₁₂ = (–1)3 (b) = -b

A₂₁ = (–1) ²⁺¹ M₂₁ = (–1)3 (c) = -c

A₂₂ = (–1) ²⁺² M₂₂ = (–1)4 (a) =