Mathematics - Matrices Question with Solution | TestHub

MathematicsMatricesAdjointMedium2 minQB

MathematicsMediumsingle choice

A square matrix $A$ of order $n$ satisfies $∣ A ∣ = 9$ and $∣ adj A ∣ = 3^{16}$ . How many elements does $A$ have?

Answer:

Solution:

$∣ adj A ∣ = ∣ A ∣^{n - 1}$ gives $3^{2 (n - 1)} = 3^{16}$ , hence $n = 9$ and $n^{2} = 81$ .

Stream:JEESubject:MathematicsTopic:MatricesSubtopic:Adjoint

⏱ 2mℹ️ Source: QB

Loading discussions...