Question

if A be square matrix of order 3 with |A|=6, then find det (adj(adj(A))).​

Answer 1

Answer:

det (adj(adj(A)))

=det(A) ^(n-2)det A, [n is the order]

={6 ^(3-2) }x 6,[since ,lAl=detA=6 and n=3]

=6x6

=36

The required det (adj(adj(A))) is 36.