Question

If d is the determinant of a square matrix A of order n, then the determinant of its adjoint is _____________ .

Options

• dⁿ

• dⁿ⁻¹

• dⁿ⁺¹

• d

Answer 1

dⁿ⁻¹

We know,

\[\left| adjA \right| = \left| A \right|^{n - 1}\]

\[\Rightarrow \left| adjA \right| = d^{n - 1}\]