If Δ = |3&5&6 7&8&9 10&x&5|, them |x&10&5 5&3&6 8&7&9| equal to:

Question

If Δ = |3&5&6 7&8&9 10&x&5|, them |x&10&5 5&3&6 8&7&9| equal to: (A) Δ (B)  - Δ (C)  Δ x  (D) 0

Tardigrade Admin · Accepted Answer

Given: Δ = |3&5&6 7&8&9 10&x&5| using properties of determinants ⇒ Δ = (-1) |5&3&6 8&7&9 x&10&5| ⇒ Δ = (-1)2 |5&3&6 x&10&5 8&7&9| ⇒ Δ =(-1)3|x&10&5 5&3&6 8&7&9| =- Δ

Q. If $Δ = ∣ ∣ 3710 58 x 695 ∣ ∣$ , them $∣ ∣ x 58 1037569 ∣ ∣$ equal to:

$Δ$

$- Δ$

$Δ x$

0

Given : $Δ = ∣ ∣ 3710 58 x 695 ∣ ∣$
using properties of determinants
$\Rightarrow Δ = (- 1) ∣ ∣ 58 x 3710695 ∣ ∣$
$\Rightarrow Δ = (- 1)^{2} ∣ ∣ 5 x 8 3107659 ∣ ∣$
$\Rightarrow Δ = (- 1)^{3} ∣ ∣ x 58 1037569 ∣ ∣ = - Δ$

Q. If Δ=∣∣​3710​58x​695​∣∣​, them ∣∣​x58​1037​569​∣∣​ equal to:

Δ

−Δ

Δx

0

Given : Δ=∣∣​3710​58x​695​∣∣​ using properties of determinants ⇒Δ=(−1)∣∣​58x​3710​695​∣∣​ ⇒Δ=(−1)2∣∣​5x8​3107​659​∣∣​ ⇒Δ=(−1)3∣∣​x58​1037​569​∣∣​=−Δ

Q. If $Δ = ∣ ∣ 3710 58 x 695 ∣ ∣$ , them $∣ ∣ x 58 1037569 ∣ ∣$ equal to:

$Δ$

$- Δ$

$Δ x$

Given : $Δ = ∣ ∣ 3710 58 x 695 ∣ ∣$
using properties of determinants
$\Rightarrow Δ = (- 1) ∣ ∣ 58 x 3710695 ∣ ∣$
$\Rightarrow Δ = (- 1)^{2} ∣ ∣ 5 x 8 3107659 ∣ ∣$
$\Rightarrow Δ = (- 1)^{3} ∣ ∣ x 58 1037569 ∣ ∣ = - Δ$