# Math Help - Find the determinant given the adjoint

1. ## Find the determinant given the adjoint

For the first question, the matrix B is just the adj(A)?

I have no idea where to begin with the second question, if anyone could help me get started.

Any help is greatly appreciated!

2. The easiest way to do it..

Given that A is an invertible, nxn matrix, we have that: $\det (A) = \sqrt[n-1]{\det \big[ \text{adj} (A) \big]}$

This can be derived from the relationship: $\det (A) A^{-1} = \text{adj} (A)$

where you take the determinant of both sides and solve.