I need to prove these 3 statements, and I don't know how to start...
A is an nxn matrix:
1) if rank(A) = n then rank(adj(A)) = n
2) if rank(A) = n-1 then rank(adj(A)) = 1
2) if rank(A) < n-1 then rank(adj(A)) = 0
I need to prove these 3 statements, and I don't know how to start...
A is an nxn matrix:
1) if rank(A) = n then rank(adj(A)) = n
2) if rank(A) = n-1 then rank(adj(A)) = 1
2) if rank(A) < n-1 then rank(adj(A)) = 0
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