Question

If A is an invertible matrix, then det (A⁻¹) is equal to ____________ .

Options

• det (A)

• \[\frac{1}{det \left( A \right)}\]

• 1

• none of these

Answer 1

\[\frac{1}{det \left( A \right)}\]

We know that for any invertible matrix A,

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

\[\frac{1}{\left| A \right|}\]