Question

For a matrix A of order n, the det(adj(A)) = (det(A))^n, where adj() is adjoint of matrix.

(a) True

(b) False

I had been asked this question by my college professor while I was bunking the class.

This interesting question is from Inverse of Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Correct choice is (b) False

To explain: For a matrix A of order n, the det(adj(A)) = (det(A))^n-1.