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Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesAdjointMedium2 minPYQ_2009

MathematicsMediumsingle choice

Let A be a $2 \times 2$ matrix Statement-1 $: adj (adj A) = A$ Statement-2 : $∣ adj A ∣ = ∣ A ∣$

Options:

Answer:

B

Solution:

$∣ adj A ∣ = ∣ A ∣^{n - 1} = ∣ A ∣^{2 - 1} = ∣ A ∣ adj (adj A) = ∣ A ∣^{n - 2} A = ∣ A ∣^{0} A = A$

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Adjoint

⏱ 2mℹ️ Source: PYQ_2009

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